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Finding the Fourth Proportional to 102,812.60, 154,449.30 and 98,614.20

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Solution

The fourth proportional to 102,812.60, 154,449.30 and 98,614.20 is: 148,142.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,812.60 : 154,449.30 = 98,614.20 : x
  2. Step 2: Convert to fraction form
    102,812.60/154,449.30 = 98,614.20/x
  3. Step 3: Cross multiply
    102,812.60x = 154,449.30 × 98,614.20
  4. Step 4: Simplify right side
    102,812.60x = 15,230,894,160.06
  5. Step 5: Solve for x
    x = 15,230,894,160.06/102,812.60
  6. Step 6: Final answer
    x = 148,142.29

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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.