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Finding the Fourth Proportional to 145,484.66, 218,229.87 and 75,318.26

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Solution

The fourth proportional to 145,484.66, 218,229.87 and 75,318.26 is: 112,978.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,484.66 : 218,229.87 = 75,318.26 : x
  2. Step 2: Convert to fraction form
    145,484.66/218,229.87 = 75,318.26/x
  3. Step 3: Cross multiply
    145,484.66x = 218,229.87 × 75,318.26
  4. Step 4: Simplify right side
    145,484.66x = 16,436,694,088.43
  5. Step 5: Solve for x
    x = 16,436,694,088.43/145,484.66
  6. Step 6: Final answer
    x = 112,978.88

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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.