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Finding the Fourth Proportional to 100,689.67, 138,971.87 and 76,773.61

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Solution

The fourth proportional to 100,689.67, 138,971.87 and 76,773.61 is: 105,962.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,689.67 : 138,971.87 = 76,773.61 : x
  2. Step 2: Convert to fraction form
    100,689.67/138,971.87 = 76,773.61/x
  3. Step 3: Cross multiply
    100,689.67x = 138,971.87 × 76,773.61
  4. Step 4: Simplify right side
    100,689.67x = 10,669,372,148.35
  5. Step 5: Solve for x
    x = 10,669,372,148.35/100,689.67
  6. Step 6: Final answer
    x = 105,962.93

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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.