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Finding the Fourth Proportional to 81,971.40, 122,957.10 and 77,046.60

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Solution

The fourth proportional to 81,971.40, 122,957.10 and 77,046.60 is: 115,569.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,971.40 : 122,957.10 = 77,046.60 : x
  2. Step 2: Convert to fraction form
    81,971.40/122,957.10 = 77,046.60/x
  3. Step 3: Cross multiply
    81,971.40x = 122,957.10 × 77,046.60
  4. Step 4: Simplify right side
    81,971.40x = 9,473,426,500.86
  5. Step 5: Solve for x
    x = 9,473,426,500.86/81,971.40
  6. Step 6: Final answer
    x = 115,569.90

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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.