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Finding the Fourth Proportional to 72,165.61, 108,220.72 and 24,771.87

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Solution

The fourth proportional to 72,165.61, 108,220.72 and 24,771.87 is: 37,148.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,165.61 : 108,220.72 = 24,771.87 : x
  2. Step 2: Convert to fraction form
    72,165.61/108,220.72 = 24,771.87/x
  3. Step 3: Cross multiply
    72,165.61x = 108,220.72 × 24,771.87
  4. Step 4: Simplify right side
    72,165.61x = 2,680,829,607.15
  5. Step 5: Solve for x
    x = 2,680,829,607.15/72,165.61
  6. Step 6: Final answer
    x = 37,148.30

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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.