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Finding the Fourth Proportional to 87,168, 120,291.84 and 47,424

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Solution

The fourth proportional to 87,168, 120,291.84 and 47,424 is: 65,445.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,168 : 120,291.84 = 47,424 : x
  2. Step 2: Convert to fraction form
    87,168/120,291.84 = 47,424/x
  3. Step 3: Cross multiply
    87,168x = 120,291.84 × 47,424
  4. Step 4: Simplify right side
    87,168x = 5,704,720,220.16
  5. Step 5: Solve for x
    x = 5,704,720,220.16/87,168
  6. Step 6: Final answer
    x = 65,445.12

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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.