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Finding the Fourth Proportional to 65,167.20, 97,750.80 and 38,485.80

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Solution

The fourth proportional to 65,167.20, 97,750.80 and 38,485.80 is: 57,728.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,167.20 : 97,750.80 = 38,485.80 : x
  2. Step 2: Convert to fraction form
    65,167.20/97,750.80 = 38,485.80/x
  3. Step 3: Cross multiply
    65,167.20x = 97,750.80 × 38,485.80
  4. Step 4: Simplify right side
    65,167.20x = 3,762,017,738.64
  5. Step 5: Solve for x
    x = 3,762,017,738.64/65,167.20
  6. Step 6: Final answer
    x = 57,728.70

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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.