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Finding the Fourth Proportional to 138,048.20, 206,999.40 and 59,073.20

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Solution

The fourth proportional to 138,048.20, 206,999.40 and 59,073.20 is: 88,578.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,048.20 : 206,999.40 = 59,073.20 : x
  2. Step 2: Convert to fraction form
    138,048.20/206,999.40 = 59,073.20/x
  3. Step 3: Cross multiply
    138,048.20x = 206,999.40 × 59,073.20
  4. Step 4: Simplify right side
    138,048.20x = 12,228,116,956.08
  5. Step 5: Solve for x
    x = 12,228,116,956.08/138,048.20
  6. Step 6: Final answer
    x = 88,578.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.