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Finding the Fourth Proportional to 90,460.92, 135,700.02 and 40,539

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Solution

The fourth proportional to 90,460.92, 135,700.02 and 40,539 is: 60,812.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,460.92 : 135,700.02 = 40,539 : x
  2. Step 2: Convert to fraction form
    90,460.92/135,700.02 = 40,539/x
  3. Step 3: Cross multiply
    90,460.92x = 135,700.02 × 40,539
  4. Step 4: Simplify right side
    90,460.92x = 5,501,143,110.78
  5. Step 5: Solve for x
    x = 5,501,143,110.78/90,460.92
  6. Step 6: Final answer
    x = 60,812.37

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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.