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Finding the Fourth Proportional to 87,560, 120,832.96 and 47,816

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Solution

The fourth proportional to 87,560, 120,832.96 and 47,816 is: 65,986.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,560 : 120,832.96 = 47,816 : x
  2. Step 2: Convert to fraction form
    87,560/120,832.96 = 47,816/x
  3. Step 3: Cross multiply
    87,560x = 120,832.96 × 47,816
  4. Step 4: Simplify right side
    87,560x = 5,777,748,815.36
  5. Step 5: Solve for x
    x = 5,777,748,815.36/87,560
  6. Step 6: Final answer
    x = 65,986.17

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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.