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Finding the Fourth Proportional to 65,407.58, 90,264.15 and 36,729.53

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Solution

The fourth proportional to 65,407.58, 90,264.15 and 36,729.53 is: 50,687.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,407.58 : 90,264.15 = 36,729.53 : x
  2. Step 2: Convert to fraction form
    65,407.58/90,264.15 = 36,729.53/x
  3. Step 3: Cross multiply
    65,407.58x = 90,264.15 × 36,729.53
  4. Step 4: Simplify right side
    65,407.58x = 3,315,359,805.35
  5. Step 5: Solve for x
    x = 3,315,359,805.35/65,407.58
  6. Step 6: Final answer
    x = 50,687.70

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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.