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Finding the Fourth Proportional to 67,538.61, 101,276.11 and 39,466.78

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Solution

The fourth proportional to 67,538.61, 101,276.11 and 39,466.78 is: 59,181.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,538.61 : 101,276.11 = 39,466.78 : x
  2. Step 2: Convert to fraction form
    67,538.61/101,276.11 = 39,466.78/x
  3. Step 3: Cross multiply
    67,538.61x = 101,276.11 × 39,466.78
  4. Step 4: Simplify right side
    67,538.61x = 3,997,041,600.77
  5. Step 5: Solve for x
    x = 3,997,041,600.77/67,538.61
  6. Step 6: Final answer
    x = 59,181.58

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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.