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Finding the Fourth Proportional to 154,551.90, 231,640.65 and 65,618.70

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Solution

The fourth proportional to 154,551.90, 231,640.65 and 65,618.70 is: 98,348.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,551.90 : 231,640.65 = 65,618.70 : x
  2. Step 2: Convert to fraction form
    154,551.90/231,640.65 = 65,618.70/x
  3. Step 3: Cross multiply
    154,551.90x = 231,640.65 × 65,618.70
  4. Step 4: Simplify right side
    154,551.90x = 15,199,958,320.16
  5. Step 5: Solve for x
    x = 15,199,958,320.16/154,551.90
  6. Step 6: Final answer
    x = 98,348.57

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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.