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Finding the Fourth Proportional to 52,872.16, 72,965.16 and 29,000.20

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Solution

The fourth proportional to 52,872.16, 72,965.16 and 29,000.20 is: 40,021.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,872.16 : 72,965.16 = 29,000.20 : x
  2. Step 2: Convert to fraction form
    52,872.16/72,965.16 = 29,000.20/x
  3. Step 3: Cross multiply
    52,872.16x = 72,965.16 × 29,000.20
  4. Step 4: Simplify right side
    52,872.16x = 2,116,004,233.03
  5. Step 5: Solve for x
    x = 2,116,004,233.03/52,872.16
  6. Step 6: Final answer
    x = 40,021.14

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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.