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Finding the Fourth Proportional to 87,302.50, 120,471.78 and 51,484.30

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Solution

The fourth proportional to 87,302.50, 120,471.78 and 51,484.30 is: 71,044.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,302.50 : 120,471.78 = 51,484.30 : x
  2. Step 2: Convert to fraction form
    87,302.50/120,471.78 = 51,484.30/x
  3. Step 3: Cross multiply
    87,302.50x = 120,471.78 × 51,484.30
  4. Step 4: Simplify right side
    87,302.50x = 6,202,405,263.05
  5. Step 5: Solve for x
    x = 6,202,405,263.05/87,302.50
  6. Step 6: Final answer
    x = 71,044.99

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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.