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Finding the Fourth Proportional to 65,335.80, 97,874.10 and 38,962.20

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Solution

The fourth proportional to 65,335.80, 97,874.10 and 38,962.20 is: 58,366.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,335.80 : 97,874.10 = 38,962.20 : x
  2. Step 2: Convert to fraction form
    65,335.80/97,874.10 = 38,962.20/x
  3. Step 3: Cross multiply
    65,335.80x = 97,874.10 × 38,962.20
  4. Step 4: Simplify right side
    65,335.80x = 3,813,390,259.02
  5. Step 5: Solve for x
    x = 3,813,390,259.02/65,335.80
  6. Step 6: Final answer
    x = 58,366.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.