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Finding the Fourth Proportional to 87,662, 120,973.56 and 47,918

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Solution

The fourth proportional to 87,662, 120,973.56 and 47,918 is: 66,126.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,662 : 120,973.56 = 47,918 : x
  2. Step 2: Convert to fraction form
    87,662/120,973.56 = 47,918/x
  3. Step 3: Cross multiply
    87,662x = 120,973.56 × 47,918
  4. Step 4: Simplify right side
    87,662x = 5,796,811,048.08
  5. Step 5: Solve for x
    x = 5,796,811,048.08/87,662
  6. Step 6: Final answer
    x = 66,126.84

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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.