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Finding the Fourth Proportional to 65,035.31, 89,759.04 and 39,549.77

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Solution

The fourth proportional to 65,035.31, 89,759.04 and 39,549.77 is: 54,584.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,035.31 : 89,759.04 = 39,549.77 : x
  2. Step 2: Convert to fraction form
    65,035.31/89,759.04 = 39,549.77/x
  3. Step 3: Cross multiply
    65,035.31x = 89,759.04 × 39,549.77
  4. Step 4: Simplify right side
    65,035.31x = 3,549,949,126.91
  5. Step 5: Solve for x
    x = 3,549,949,126.91/65,035.31
  6. Step 6: Final answer
    x = 54,584.95

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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.