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Finding the Fourth Proportional to 159,602.75, 220,252.46 and 87,981.20

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Solution

The fourth proportional to 159,602.75, 220,252.46 and 87,981.20 is: 121,414.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,602.75 : 220,252.46 = 87,981.20 : x
  2. Step 2: Convert to fraction form
    159,602.75/220,252.46 = 87,981.20/x
  3. Step 3: Cross multiply
    159,602.75x = 220,252.46 × 87,981.20
  4. Step 4: Simplify right side
    159,602.75x = 19,378,074,192.58
  5. Step 5: Solve for x
    x = 19,378,074,192.58/159,602.75
  6. Step 6: Final answer
    x = 121,414.42

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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.