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Finding the Fourth Proportional to 71,856.38, 107,830.70 and 48,190.65

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Solution

The fourth proportional to 71,856.38, 107,830.70 and 48,190.65 is: 72,316.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,856.38 : 107,830.70 = 48,190.65 : x
  2. Step 2: Convert to fraction form
    71,856.38/107,830.70 = 48,190.65/x
  3. Step 3: Cross multiply
    71,856.38x = 107,830.70 × 48,190.65
  4. Step 4: Simplify right side
    71,856.38x = 5,196,431,282.00
  5. Step 5: Solve for x
    x = 5,196,431,282.00/71,856.38
  6. Step 6: Final answer
    x = 72,316.91

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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.