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Finding the Fourth Proportional to 87,262, 120,421.80 and 49,542.16

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Solution

The fourth proportional to 87,262, 120,421.80 and 49,542.16 is: 68,368.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,262 : 120,421.80 = 49,542.16 : x
  2. Step 2: Convert to fraction form
    87,262/120,421.80 = 49,542.16/x
  3. Step 3: Cross multiply
    87,262x = 120,421.80 × 49,542.16
  4. Step 4: Simplify right side
    87,262x = 5,965,956,083.09
  5. Step 5: Solve for x
    x = 5,965,956,083.09/87,262
  6. Step 6: Final answer
    x = 68,368.32

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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.