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Finding the Fourth Proportional to 65,127.96, 89,833.84 and 51,677.88

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Solution

The fourth proportional to 65,127.96, 89,833.84 and 51,677.88 is: 71,281.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,127.96 : 89,833.84 = 51,677.88 : x
  2. Step 2: Convert to fraction form
    65,127.96/89,833.84 = 51,677.88/x
  3. Step 3: Cross multiply
    65,127.96x = 89,833.84 × 51,677.88
  4. Step 4: Simplify right side
    65,127.96x = 4,642,422,403.46
  5. Step 5: Solve for x
    x = 4,642,422,403.46/65,127.96
  6. Step 6: Final answer
    x = 71,281.56

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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.