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Finding the Fourth Proportional to 154,489.80, 231,297.30 and 138,743.40

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Solution

The fourth proportional to 154,489.80, 231,297.30 and 138,743.40 is: 207,722.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,489.80 : 231,297.30 = 138,743.40 : x
  2. Step 2: Convert to fraction form
    154,489.80/231,297.30 = 138,743.40/x
  3. Step 3: Cross multiply
    154,489.80x = 231,297.30 × 138,743.40
  4. Step 4: Simplify right side
    154,489.80x = 32,090,973,812.82
  5. Step 5: Solve for x
    x = 32,090,973,812.82/154,489.80
  6. Step 6: Final answer
    x = 207,722.28

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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.