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Finding the Fourth Proportional to 87,600, 120,888.54 and 47,856

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Solution

The fourth proportional to 87,600, 120,888.54 and 47,856 is: 66,041.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,600 : 120,888.54 = 47,856 : x
  2. Step 2: Convert to fraction form
    87,600/120,888.54 = 47,856/x
  3. Step 3: Cross multiply
    87,600x = 120,888.54 × 47,856
  4. Step 4: Simplify right side
    87,600x = 5,785,241,970.24
  5. Step 5: Solve for x
    x = 5,785,241,970.24/87,600
  6. Step 6: Final answer
    x = 66,041.58

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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.