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Finding the Fourth Proportional to 98,246.62, 147,246.69 and 42,020.74

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Solution

The fourth proportional to 98,246.62, 147,246.69 and 42,020.74 is: 62,978.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,246.62 : 147,246.69 = 42,020.74 : x
  2. Step 2: Convert to fraction form
    98,246.62/147,246.69 = 42,020.74/x
  3. Step 3: Cross multiply
    98,246.62x = 147,246.69 × 42,020.74
  4. Step 4: Simplify right side
    98,246.62x = 6,187,414,876.35
  5. Step 5: Solve for x
    x = 6,187,414,876.35/98,246.62
  6. Step 6: Final answer
    x = 62,978.40

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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.