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Finding the Fourth Proportional to 65,035.17, 97,472.88 and 36,978.75

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Solution

The fourth proportional to 65,035.17, 97,472.88 and 36,978.75 is: 55,422.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,035.17 : 97,472.88 = 36,978.75 : x
  2. Step 2: Convert to fraction form
    65,035.17/97,472.88 = 36,978.75/x
  3. Step 3: Cross multiply
    65,035.17x = 97,472.88 × 36,978.75
  4. Step 4: Simplify right side
    65,035.17x = 3,604,425,261.30
  5. Step 5: Solve for x
    x = 3,604,425,261.30/65,035.17
  6. Step 6: Final answer
    x = 55,422.71

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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.