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Finding the Fourth Proportional to 51,732, 71,390.16 and 29,376

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Solution

The fourth proportional to 51,732, 71,390.16 and 29,376 is: 40,538.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,732 : 71,390.16 = 29,376 : x
  2. Step 2: Convert to fraction form
    51,732/71,390.16 = 29,376/x
  3. Step 3: Cross multiply
    51,732x = 71,390.16 × 29,376
  4. Step 4: Simplify right side
    51,732x = 2,097,157,340.16
  5. Step 5: Solve for x
    x = 2,097,157,340.16/51,732
  6. Step 6: Final answer
    x = 40,538.88

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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.