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Finding the Fourth Proportional to 225,963,806.16, 311,820,869.64 and 128,176,562.64

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Solution

The fourth proportional to 225,963,806.16, 311,820,869.64 and 128,176,562.64 is: 176,878,447.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,963,806.16 : 311,820,869.64 = 128,176,562.64 : x
  2. Step 2: Convert to fraction form
    225,963,806.16/311,820,869.64 = 128,176,562.64/x
  3. Step 3: Cross multiply
    225,963,806.16x = 311,820,869.64 × 128,176,562.64
  4. Step 4: Simplify right side
    225,963,806.16x = 39,968,127,229,870,736
  5. Step 5: Solve for x
    x = 39,968,127,229,870,736/225,963,806.16
  6. Step 6: Final answer
    x = 176,878,447.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.