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Finding the Fourth Proportional to 87,321, 120,502.98 and 47,577

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Solution

The fourth proportional to 87,321, 120,502.98 and 47,577 is: 65,656.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,321 : 120,502.98 = 47,577 : x
  2. Step 2: Convert to fraction form
    87,321/120,502.98 = 47,577/x
  3. Step 3: Cross multiply
    87,321x = 120,502.98 × 47,577
  4. Step 4: Simplify right side
    87,321x = 5,733,170,279.46
  5. Step 5: Solve for x
    x = 5,733,170,279.46/87,321
  6. Step 6: Final answer
    x = 65,656.26

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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.