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Finding the Fourth Proportional to 159,762.56, 220,470.84 and 88,143.20

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Solution

The fourth proportional to 159,762.56, 220,470.84 and 88,143.20 is: 121,636.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,762.56 : 220,470.84 = 88,143.20 : x
  2. Step 2: Convert to fraction form
    159,762.56/220,470.84 = 88,143.20/x
  3. Step 3: Cross multiply
    159,762.56x = 220,470.84 × 88,143.20
  4. Step 4: Simplify right side
    159,762.56x = 19,433,005,344.29
  5. Step 5: Solve for x
    x = 19,433,005,344.29/159,762.56
  6. Step 6: Final answer
    x = 121,636.79

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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.