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Finding the Fourth Proportional to 78,557.81, 117,855.17 and 25,967.29

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Solution

The fourth proportional to 78,557.81, 117,855.17 and 25,967.29 is: 38,957.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,557.81 : 117,855.17 = 25,967.29 : x
  2. Step 2: Convert to fraction form
    78,557.81/117,855.17 = 25,967.29/x
  3. Step 3: Cross multiply
    78,557.81x = 117,855.17 × 25,967.29
  4. Step 4: Simplify right side
    78,557.81x = 3,060,379,247.55
  5. Step 5: Solve for x
    x = 3,060,379,247.55/78,557.81
  6. Step 6: Final answer
    x = 38,957.04

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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.