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Finding the Fourth Proportional to 120,502.35, 180,762.30 and 36,255.87

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Solution

The fourth proportional to 120,502.35, 180,762.30 and 36,255.87 is: 54,386.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,502.35 : 180,762.30 = 36,255.87 : x
  2. Step 2: Convert to fraction form
    120,502.35/180,762.30 = 36,255.87/x
  3. Step 3: Cross multiply
    120,502.35x = 180,762.30 × 36,255.87
  4. Step 4: Simplify right side
    120,502.35x = 6,553,694,449.70
  5. Step 5: Solve for x
    x = 6,553,694,449.70/120,502.35
  6. Step 6: Final answer
    x = 54,386.45

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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.