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Finding the Fourth Proportional to 154,589.38, 231,490.38 and 101,838.94

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Solution

The fourth proportional to 154,589.38, 231,490.38 and 101,838.94 is: 152,499.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,589.38 : 231,490.38 = 101,838.94 : x
  2. Step 2: Convert to fraction form
    154,589.38/231,490.38 = 101,838.94/x
  3. Step 3: Cross multiply
    154,589.38x = 231,490.38 × 101,838.94
  4. Step 4: Simplify right side
    154,589.38x = 23,574,734,722.57
  5. Step 5: Solve for x
    x = 23,574,734,722.57/154,589.38
  6. Step 6: Final answer
    x = 152,499.06

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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.