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Finding the Fourth Proportional to 52,872, 72,963.36 and 29,320

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Solution

The fourth proportional to 52,872, 72,963.36 and 29,320 is: 40,461.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,872 : 72,963.36 = 29,320 : x
  2. Step 2: Convert to fraction form
    52,872/72,963.36 = 29,320/x
  3. Step 3: Cross multiply
    52,872x = 72,963.36 × 29,320
  4. Step 4: Simplify right side
    52,872x = 2,139,285,715.20
  5. Step 5: Solve for x
    x = 2,139,285,715.20/52,872
  6. Step 6: Final answer
    x = 40,461.60

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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.