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Finding the Fourth Proportional to 81,156.30, 121,696.14 and 47,432

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Solution

The fourth proportional to 81,156.30, 121,696.14 and 47,432 is: 71,125.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,156.30 : 121,696.14 = 47,432 : x
  2. Step 2: Convert to fraction form
    81,156.30/121,696.14 = 47,432/x
  3. Step 3: Cross multiply
    81,156.30x = 121,696.14 × 47,432
  4. Step 4: Simplify right side
    81,156.30x = 5,772,291,312.48
  5. Step 5: Solve for x
    x = 5,772,291,312.48/81,156.30
  6. Step 6: Final answer
    x = 71,125.61

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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.