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Finding the Fourth Proportional to 87,602, 120,891.30 and 47,858

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Solution

The fourth proportional to 87,602, 120,891.30 and 47,858 is: 66,044.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,602 : 120,891.30 = 47,858 : x
  2. Step 2: Convert to fraction form
    87,602/120,891.30 = 47,858/x
  3. Step 3: Cross multiply
    87,602x = 120,891.30 × 47,858
  4. Step 4: Simplify right side
    87,602x = 5,785,615,835.40
  5. Step 5: Solve for x
    x = 5,785,615,835.40/87,602
  6. Step 6: Final answer
    x = 66,044.34

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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.