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Finding the Fourth Proportional to 98,245.62, 147,245.19 and 42,019.74

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Solution

The fourth proportional to 98,245.62, 147,245.19 and 42,019.74 is: 62,976.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,245.62 : 147,245.19 = 42,019.74 : x
  2. Step 2: Convert to fraction form
    98,245.62/147,245.19 = 42,019.74/x
  3. Step 3: Cross multiply
    98,245.62x = 147,245.19 × 42,019.74
  4. Step 4: Simplify right side
    98,245.62x = 6,187,204,600.05
  5. Step 5: Solve for x
    x = 6,187,204,600.05/98,245.62
  6. Step 6: Final answer
    x = 62,976.90

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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.