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Finding the Fourth Proportional to 98,121.60, 147,138.12 and 27,984.24

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Solution

The fourth proportional to 98,121.60, 147,138.12 and 27,984.24 is: 41,963.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,121.60 : 147,138.12 = 27,984.24 : x
  2. Step 2: Convert to fraction form
    98,121.60/147,138.12 = 27,984.24/x
  3. Step 3: Cross multiply
    98,121.60x = 147,138.12 × 27,984.24
  4. Step 4: Simplify right side
    98,121.60x = 4,117,548,463.23
  5. Step 5: Solve for x
    x = 4,117,548,463.23/98,121.60
  6. Step 6: Final answer
    x = 41,963.73

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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.