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Finding the Fourth Proportional to 105,381.91, 158,135.10 and 38,868.49

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Solution

The fourth proportional to 105,381.91, 158,135.10 and 38,868.49 is: 58,325.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,381.91 : 158,135.10 = 38,868.49 : x
  2. Step 2: Convert to fraction form
    105,381.91/158,135.10 = 38,868.49/x
  3. Step 3: Cross multiply
    105,381.91x = 158,135.10 × 38,868.49
  4. Step 4: Simplify right side
    105,381.91x = 6,146,472,553.00
  5. Step 5: Solve for x
    x = 6,146,472,553.00/105,381.91
  6. Step 6: Final answer
    x = 58,325.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.