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Finding the Fourth Proportional to 87,375, 120,587.28 and 53,841

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Solution

The fourth proportional to 87,375, 120,587.28 and 53,841 is: 74,306.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,375 : 120,587.28 = 53,841 : x
  2. Step 2: Convert to fraction form
    87,375/120,587.28 = 53,841/x
  3. Step 3: Cross multiply
    87,375x = 120,587.28 × 53,841
  4. Step 4: Simplify right side
    87,375x = 6,492,539,742.48
  5. Step 5: Solve for x
    x = 6,492,539,742.48/87,375
  6. Step 6: Final answer
    x = 74,306.61

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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.