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Finding the Fourth Proportional to 154,430.80, 231,646.20 and 138,101.20

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Solution

The fourth proportional to 154,430.80, 231,646.20 and 138,101.20 is: 207,151.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,430.80 : 231,646.20 = 138,101.20 : x
  2. Step 2: Convert to fraction form
    154,430.80/231,646.20 = 138,101.20/x
  3. Step 3: Cross multiply
    154,430.80x = 231,646.20 × 138,101.20
  4. Step 4: Simplify right side
    154,430.80x = 31,990,618,195.44
  5. Step 5: Solve for x
    x = 31,990,618,195.44/154,430.80
  6. Step 6: Final answer
    x = 207,151.80

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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.