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Finding the Fourth Proportional to 102,712.49, 141,690.17 and 65,008.61

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Solution

The fourth proportional to 102,712.49, 141,690.17 and 65,008.61 is: 89,678.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,712.49 : 141,690.17 = 65,008.61 : x
  2. Step 2: Convert to fraction form
    102,712.49/141,690.17 = 65,008.61/x
  3. Step 3: Cross multiply
    102,712.49x = 141,690.17 × 65,008.61
  4. Step 4: Simplify right side
    102,712.49x = 9,211,080,677.32
  5. Step 5: Solve for x
    x = 9,211,080,677.32/102,712.49
  6. Step 6: Final answer
    x = 89,678.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.