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Finding the Fourth Proportional to 52,871.40, 72,965.21 and 29,000.30

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Solution

The fourth proportional to 52,871.40, 72,965.21 and 29,000.30 is: 40,021.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,871.40 : 72,965.21 = 29,000.30 : x
  2. Step 2: Convert to fraction form
    52,871.40/72,965.21 = 29,000.30/x
  3. Step 3: Cross multiply
    52,871.40x = 72,965.21 × 29,000.30
  4. Step 4: Simplify right side
    52,871.40x = 2,116,012,469.74
  5. Step 5: Solve for x
    x = 2,116,012,469.74/52,871.40
  6. Step 6: Final answer
    x = 40,021.87

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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.