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Finding the Fourth Proportional to 78,141, 117,230.94 and 22,737

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Solution

The fourth proportional to 78,141, 117,230.94 and 22,737 is: 34,111.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,141 : 117,230.94 = 22,737 : x
  2. Step 2: Convert to fraction form
    78,141/117,230.94 = 22,737/x
  3. Step 3: Cross multiply
    78,141x = 117,230.94 × 22,737
  4. Step 4: Simplify right side
    78,141x = 2,665,479,882.78
  5. Step 5: Solve for x
    x = 2,665,479,882.78/78,141
  6. Step 6: Final answer
    x = 34,111.16

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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.