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Finding the Fourth Proportional to 119,119.67, 164,387.79 and 65,404.90

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Solution

The fourth proportional to 119,119.67, 164,387.79 and 65,404.90 is: 90,260.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,119.67 : 164,387.79 = 65,404.90 : x
  2. Step 2: Convert to fraction form
    119,119.67/164,387.79 = 65,404.90/x
  3. Step 3: Cross multiply
    119,119.67x = 164,387.79 × 65,404.90
  4. Step 4: Simplify right side
    119,119.67x = 10,751,766,966.17
  5. Step 5: Solve for x
    x = 10,751,766,966.17/119,119.67
  6. Step 6: Final answer
    x = 90,260.21

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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.