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Finding the Fourth Proportional to 225,142.94, 310,666.83 and 128,359.28

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Solution

The fourth proportional to 225,142.94, 310,666.83 and 128,359.28 is: 177,118.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,142.94 : 310,666.83 = 128,359.28 : x
  2. Step 2: Convert to fraction form
    225,142.94/310,666.83 = 128,359.28/x
  3. Step 3: Cross multiply
    225,142.94x = 310,666.83 × 128,359.28
  4. Step 4: Simplify right side
    225,142.94x = 39,876,970,618.68
  5. Step 5: Solve for x
    x = 39,876,970,618.68/225,142.94
  6. Step 6: Final answer
    x = 177,118.46

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1.5x scale

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.