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Finding the Fourth Proportional to 52,459.77, 78,701.92 and 20,871.61

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Solution

The fourth proportional to 52,459.77, 78,701.92 and 20,871.61 is: 31,312.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,459.77 : 78,701.92 = 20,871.61 : x
  2. Step 2: Convert to fraction form
    52,459.77/78,701.92 = 20,871.61/x
  3. Step 3: Cross multiply
    52,459.77x = 78,701.92 × 20,871.61
  4. Step 4: Simplify right side
    52,459.77x = 1,642,635,780.49
  5. Step 5: Solve for x
    x = 1,642,635,780.49/52,459.77
  6. Step 6: Final answer
    x = 31,312.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.