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Finding the Fourth Proportional to 105,520.74, 158,230.08 and 38,992.20

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Solution

The fourth proportional to 105,520.74, 158,230.08 and 38,992.20 is: 58,469.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,520.74 : 158,230.08 = 38,992.20 : x
  2. Step 2: Convert to fraction form
    105,520.74/158,230.08 = 38,992.20/x
  3. Step 3: Cross multiply
    105,520.74x = 158,230.08 × 38,992.20
  4. Step 4: Simplify right side
    105,520.74x = 6,169,738,925.38
  5. Step 5: Solve for x
    x = 6,169,738,925.38/105,520.74
  6. Step 6: Final answer
    x = 58,469.44

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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.