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Finding the Fourth Proportional to 177,306.92, 266,010.42 and 72,201.32

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Solution

The fourth proportional to 177,306.92, 266,010.42 and 72,201.32 is: 108,322.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,306.92 : 266,010.42 = 72,201.32 : x
  2. Step 2: Convert to fraction form
    177,306.92/266,010.42 = 72,201.32/x
  3. Step 3: Cross multiply
    177,306.92x = 266,010.42 × 72,201.32
  4. Step 4: Simplify right side
    177,306.92x = 19,206,303,457.75
  5. Step 5: Solve for x
    x = 19,206,303,457.75/177,306.92
  6. Step 6: Final answer
    x = 108,322.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.