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Finding the Fourth Proportional to 65,129.96, 89,836.60 and 51,679.88

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Solution

The fourth proportional to 65,129.96, 89,836.60 and 51,679.88 is: 71,284.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,129.96 : 89,836.60 = 51,679.88 : x
  2. Step 2: Convert to fraction form
    65,129.96/89,836.60 = 51,679.88/x
  3. Step 3: Cross multiply
    65,129.96x = 89,836.60 × 51,679.88
  4. Step 4: Simplify right side
    65,129.96x = 4,642,744,707.61
  5. Step 5: Solve for x
    x = 4,642,744,707.61/65,129.96
  6. Step 6: Final answer
    x = 71,284.32

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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.