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Finding the Fourth Proportional to 159,693.71, 220,321.66 and 102,364.64

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Solution

The fourth proportional to 159,693.71, 220,321.66 and 102,364.64 is: 141,227.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,693.71 : 220,321.66 = 102,364.64 : x
  2. Step 2: Convert to fraction form
    159,693.71/220,321.66 = 102,364.64/x
  3. Step 3: Cross multiply
    159,693.71x = 220,321.66 × 102,364.64
  4. Step 4: Simplify right side
    159,693.71x = 22,553,147,410.10
  5. Step 5: Solve for x
    x = 22,553,147,410.10/159,693.71
  6. Step 6: Final answer
    x = 141,227.52

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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.