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Finding the Fourth Proportional to 133,857.12, 200,721.60 and 77,712.74

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Solution

The fourth proportional to 133,857.12, 200,721.60 and 77,712.74 is: 116,531.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,857.12 : 200,721.60 = 77,712.74 : x
  2. Step 2: Convert to fraction form
    133,857.12/200,721.60 = 77,712.74/x
  3. Step 3: Cross multiply
    133,857.12x = 200,721.60 × 77,712.74
  4. Step 4: Simplify right side
    133,857.12x = 15,598,625,513.18
  5. Step 5: Solve for x
    x = 15,598,625,513.18/133,857.12
  6. Step 6: Final answer
    x = 116,531.91

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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.