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Finding the Fourth Proportional to 78,432, 117,581.85 and 34,025.31

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Solution

The fourth proportional to 78,432, 117,581.85 and 34,025.31 is: 51,009.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,432 : 117,581.85 = 34,025.31 : x
  2. Step 2: Convert to fraction form
    78,432/117,581.85 = 34,025.31/x
  3. Step 3: Cross multiply
    78,432x = 117,581.85 × 34,025.31
  4. Step 4: Simplify right side
    78,432x = 4,000,758,896.62
  5. Step 5: Solve for x
    x = 4,000,758,896.62/78,432
  6. Step 6: Final answer
    x = 51,009.27

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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.