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Finding the Fourth Proportional to 159,693.86, 220,321.86 and 102,364.79

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Solution

The fourth proportional to 159,693.86, 220,321.86 and 102,364.79 is: 141,227.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,693.86 : 220,321.86 = 102,364.79 : x
  2. Step 2: Convert to fraction form
    159,693.86/220,321.86 = 102,364.79/x
  3. Step 3: Cross multiply
    159,693.86x = 220,321.86 × 102,364.79
  4. Step 4: Simplify right side
    159,693.86x = 22,553,199,829.70
  5. Step 5: Solve for x
    x = 22,553,199,829.70/159,693.86
  6. Step 6: Final answer
    x = 141,227.72

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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.