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Finding the Fourth Proportional to 225,142.69, 310,666.47 and 128,359.03

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Solution

The fourth proportional to 225,142.69, 310,666.47 and 128,359.03 is: 177,118.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,142.69 : 310,666.47 = 128,359.03 : x
  2. Step 2: Convert to fraction form
    225,142.69/310,666.47 = 128,359.03/x
  3. Step 3: Cross multiply
    225,142.69x = 310,666.47 × 128,359.03
  4. Step 4: Simplify right side
    225,142.69x = 39,876,846,742.72
  5. Step 5: Solve for x
    x = 39,876,846,742.72/225,142.69
  6. Step 6: Final answer
    x = 177,118.11

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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.