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Finding the Fourth Proportional to 87,599, 120,886.62 and 47,855

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Solution

The fourth proportional to 87,599, 120,886.62 and 47,855 is: 66,039.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,599 : 120,886.62 = 47,855 : x
  2. Step 2: Convert to fraction form
    87,599/120,886.62 = 47,855/x
  3. Step 3: Cross multiply
    87,599x = 120,886.62 × 47,855
  4. Step 4: Simplify right side
    87,599x = 5,785,029,200.10
  5. Step 5: Solve for x
    x = 5,785,029,200.10/87,599
  6. Step 6: Final answer
    x = 66,039.90

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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.