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Finding the Fourth Proportional to 113,957.38, 157,171.53 and 106,318

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Solution

The fourth proportional to 113,957.38, 157,171.53 and 106,318 is: 146,635.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,957.38 : 157,171.53 = 106,318 : x
  2. Step 2: Convert to fraction form
    113,957.38/157,171.53 = 106,318/x
  3. Step 3: Cross multiply
    113,957.38x = 157,171.53 × 106,318
  4. Step 4: Simplify right side
    113,957.38x = 16,710,162,726.54
  5. Step 5: Solve for x
    x = 16,710,162,726.54/113,957.38
  6. Step 6: Final answer
    x = 146,635.20

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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.