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Finding the Fourth Proportional to 159,427, 220,019.24 and 87,807

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Solution

The fourth proportional to 159,427, 220,019.24 and 87,807 is: 121,179.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,427 : 220,019.24 = 87,807 : x
  2. Step 2: Convert to fraction form
    159,427/220,019.24 = 87,807/x
  3. Step 3: Cross multiply
    159,427x = 220,019.24 × 87,807
  4. Step 4: Simplify right side
    159,427x = 19,319,229,406.68
  5. Step 5: Solve for x
    x = 19,319,229,406.68/159,427
  6. Step 6: Final answer
    x = 121,179.16

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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.