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Finding the Fourth Proportional to 65,114.20, 97,671.30 and 38,432.80

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Solution

The fourth proportional to 65,114.20, 97,671.30 and 38,432.80 is: 57,649.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,114.20 : 97,671.30 = 38,432.80 : x
  2. Step 2: Convert to fraction form
    65,114.20/97,671.30 = 38,432.80/x
  3. Step 3: Cross multiply
    65,114.20x = 97,671.30 × 38,432.80
  4. Step 4: Simplify right side
    65,114.20x = 3,753,781,538.64
  5. Step 5: Solve for x
    x = 3,753,781,538.64/65,114.20
  6. Step 6: Final answer
    x = 57,649.20

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1.5x scale

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.