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Finding the Fourth Proportional to 102,695.20, 154,042.80 and 98,612.80

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Solution

The fourth proportional to 102,695.20, 154,042.80 and 98,612.80 is: 147,919.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,695.20 : 154,042.80 = 98,612.80 : x
  2. Step 2: Convert to fraction form
    102,695.20/154,042.80 = 98,612.80/x
  3. Step 3: Cross multiply
    102,695.20x = 154,042.80 × 98,612.80
  4. Step 4: Simplify right side
    102,695.20x = 15,190,591,827.84
  5. Step 5: Solve for x
    x = 15,190,591,827.84/102,695.20
  6. Step 6: Final answer
    x = 147,919.20

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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.