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Finding the Fourth Proportional to 87,661, 120,962.54 and 53,678.06

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Solution

The fourth proportional to 87,661, 120,962.54 and 53,678.06 is: 74,069.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,661 : 120,962.54 = 53,678.06 : x
  2. Step 2: Convert to fraction form
    87,661/120,962.54 = 53,678.06/x
  3. Step 3: Cross multiply
    87,661x = 120,962.54 × 53,678.06
  4. Step 4: Simplify right side
    87,661x = 6,493,034,479.87
  5. Step 5: Solve for x
    x = 6,493,034,479.87/87,661
  6. Step 6: Final answer
    x = 74,069.82

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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.