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Finding the Fourth Proportional to 87,031, 120,102.90 and 49,307.80

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Solution

The fourth proportional to 87,031, 120,102.90 and 49,307.80 is: 68,044.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,031 : 120,102.90 = 49,307.80 : x
  2. Step 2: Convert to fraction form
    87,031/120,102.90 = 49,307.80/x
  3. Step 3: Cross multiply
    87,031x = 120,102.90 × 49,307.80
  4. Step 4: Simplify right side
    87,031x = 5,922,009,772.62
  5. Step 5: Solve for x
    x = 5,922,009,772.62/87,031
  6. Step 6: Final answer
    x = 68,044.83

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1.5x scale

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.