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Finding the Fourth Proportional to 145,753.38, 218,663.55 and 75,617.10

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Solution

The fourth proportional to 145,753.38, 218,663.55 and 75,617.10 is: 113,443.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,753.38 : 218,663.55 = 75,617.10 : x
  2. Step 2: Convert to fraction form
    145,753.38/218,663.55 = 75,617.10/x
  3. Step 3: Cross multiply
    145,753.38x = 218,663.55 × 75,617.10
  4. Step 4: Simplify right side
    145,753.38x = 16,534,703,526.71
  5. Step 5: Solve for x
    x = 16,534,703,526.71/145,753.38
  6. Step 6: Final answer
    x = 113,443.02

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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.