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Finding the Fourth Proportional to 169,949.40, 254,924.10 and 142,301.40

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Solution

The fourth proportional to 169,949.40, 254,924.10 and 142,301.40 is: 213,452.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,949.40 : 254,924.10 = 142,301.40 : x
  2. Step 2: Convert to fraction form
    169,949.40/254,924.10 = 142,301.40/x
  3. Step 3: Cross multiply
    169,949.40x = 254,924.10 × 142,301.40
  4. Step 4: Simplify right side
    169,949.40x = 36,276,056,323.74
  5. Step 5: Solve for x
    x = 36,276,056,323.74/169,949.40
  6. Step 6: Final answer
    x = 213,452.10

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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.