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Finding the Fourth Proportional to 105,387.66, 158,143.86 and 38,874.54

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Solution

The fourth proportional to 105,387.66, 158,143.86 and 38,874.54 is: 58,334.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,387.66 : 158,143.86 = 38,874.54 : x
  2. Step 2: Convert to fraction form
    105,387.66/158,143.86 = 38,874.54/x
  3. Step 3: Cross multiply
    105,387.66x = 158,143.86 × 38,874.54
  4. Step 4: Simplify right side
    105,387.66x = 6,147,769,811.32
  5. Step 5: Solve for x
    x = 6,147,769,811.32/105,387.66
  6. Step 6: Final answer
    x = 58,334.82

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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.