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Finding the Fourth Proportional to 145,253.76, 217,769.92 and 75,088.32

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Solution

The fourth proportional to 145,253.76, 217,769.92 and 75,088.32 is: 112,575.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,253.76 : 217,769.92 = 75,088.32 : x
  2. Step 2: Convert to fraction form
    145,253.76/217,769.92 = 75,088.32/x
  3. Step 3: Cross multiply
    145,253.76x = 217,769.92 × 75,088.32
  4. Step 4: Simplify right side
    145,253.76x = 16,351,977,439.33
  5. Step 5: Solve for x
    x = 16,351,977,439.33/145,253.76
  6. Step 6: Final answer
    x = 112,575.24

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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.