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Finding the Fourth Proportional to 154,490.80, 231,590.40 and 138,744.40

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Solution

The fourth proportional to 154,490.80, 231,590.40 and 138,744.40 is: 207,985.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,490.80 : 231,590.40 = 138,744.40 : x
  2. Step 2: Convert to fraction form
    154,490.80/231,590.40 = 138,744.40/x
  3. Step 3: Cross multiply
    154,490.80x = 231,590.40 × 138,744.40
  4. Step 4: Simplify right side
    154,490.80x = 32,131,871,093.76
  5. Step 5: Solve for x
    x = 32,131,871,093.76/154,490.80
  6. Step 6: Final answer
    x = 207,985.66

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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.