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Finding the Fourth Proportional to 77,712.28, 116,414.09 and 59,881.08

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Solution

The fourth proportional to 77,712.28, 116,414.09 and 59,881.08 is: 89,702.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,712.28 : 116,414.09 = 59,881.08 : x
  2. Step 2: Convert to fraction form
    77,712.28/116,414.09 = 59,881.08/x
  3. Step 3: Cross multiply
    77,712.28x = 116,414.09 × 59,881.08
  4. Step 4: Simplify right side
    77,712.28x = 6,971,000,554.94
  5. Step 5: Solve for x
    x = 6,971,000,554.94/77,712.28
  6. Step 6: Final answer
    x = 89,702.69

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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.