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Finding the Fourth Proportional to 87,045, 120,122.86 and 47,301

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Solution

The fourth proportional to 87,045, 120,122.86 and 47,301 is: 65,275.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,045 : 120,122.86 = 47,301 : x
  2. Step 2: Convert to fraction form
    87,045/120,122.86 = 47,301/x
  3. Step 3: Cross multiply
    87,045x = 120,122.86 × 47,301
  4. Step 4: Simplify right side
    87,045x = 5,681,931,400.86
  5. Step 5: Solve for x
    x = 5,681,931,400.86/87,045
  6. Step 6: Final answer
    x = 65,275.79

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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.