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Finding the Fourth Proportional to 87,042, 120,118.68 and 47,298

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Solution

The fourth proportional to 87,042, 120,118.68 and 47,298 is: 65,271.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,042 : 120,118.68 = 47,298 : x
  2. Step 2: Convert to fraction form
    87,042/120,118.68 = 47,298/x
  3. Step 3: Cross multiply
    87,042x = 120,118.68 × 47,298
  4. Step 4: Simplify right side
    87,042x = 5,681,373,326.64
  5. Step 5: Solve for x
    x = 5,681,373,326.64/87,042
  6. Step 6: Final answer
    x = 65,271.63

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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.