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Finding the Fourth Proportional to 98,098.88, 147,149.70 and 27,978.19

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Solution

The fourth proportional to 98,098.88, 147,149.70 and 27,978.19 is: 41,967.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,098.88 : 147,149.70 = 27,978.19 : x
  2. Step 2: Convert to fraction form
    98,098.88/147,149.70 = 27,978.19/x
  3. Step 3: Cross multiply
    98,098.88x = 147,149.70 × 27,978.19
  4. Step 4: Simplify right side
    98,098.88x = 4,116,981,792.25
  5. Step 5: Solve for x
    x = 4,116,981,792.25/98,098.88
  6. Step 6: Final answer
    x = 41,967.68

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1.5x scale

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.