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Finding the Fourth Proportional to 65,146.79, 97,737.03 and 38,151.92

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Solution

The fourth proportional to 65,146.79, 97,737.03 and 38,151.92 is: 57,237.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,146.79 : 97,737.03 = 38,151.92 : x
  2. Step 2: Convert to fraction form
    65,146.79/97,737.03 = 38,151.92/x
  3. Step 3: Cross multiply
    65,146.79x = 97,737.03 × 38,151.92
  4. Step 4: Simplify right side
    65,146.79x = 3,728,855,349.60
  5. Step 5: Solve for x
    x = 3,728,855,349.60/65,146.79
  6. Step 6: Final answer
    x = 57,237.74

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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.