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Finding the Fourth Proportional to 51,480, 71,041.92 and 29,124

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Solution

The fourth proportional to 51,480, 71,041.92 and 29,124 is: 40,190.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,480 : 71,041.92 = 29,124 : x
  2. Step 2: Convert to fraction form
    51,480/71,041.92 = 29,124/x
  3. Step 3: Cross multiply
    51,480x = 71,041.92 × 29,124
  4. Step 4: Simplify right side
    51,480x = 2,069,024,878.08
  5. Step 5: Solve for x
    x = 2,069,024,878.08/51,480
  6. Step 6: Final answer
    x = 40,190.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.