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Finding the Fourth Proportional to 102,959.80, 154,439.70 and 99,023.20

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Solution

The fourth proportional to 102,959.80, 154,439.70 and 99,023.20 is: 148,534.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,959.80 : 154,439.70 = 99,023.20 : x
  2. Step 2: Convert to fraction form
    102,959.80/154,439.70 = 99,023.20/x
  3. Step 3: Cross multiply
    102,959.80x = 154,439.70 × 99,023.20
  4. Step 4: Simplify right side
    102,959.80x = 15,293,113,301.04
  5. Step 5: Solve for x
    x = 15,293,113,301.04/102,959.80
  6. Step 6: Final answer
    x = 148,534.80

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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.