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Finding the Fourth Proportional to 154,482.10, 231,723.15 and 65,713.30

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Solution

The fourth proportional to 154,482.10, 231,723.15 and 65,713.30 is: 98,569.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,482.10 : 231,723.15 = 65,713.30 : x
  2. Step 2: Convert to fraction form
    154,482.10/231,723.15 = 65,713.30/x
  3. Step 3: Cross multiply
    154,482.10x = 231,723.15 × 65,713.30
  4. Step 4: Simplify right side
    154,482.10x = 15,227,292,872.90
  5. Step 5: Solve for x
    x = 15,227,292,872.90/154,482.10
  6. Step 6: Final answer
    x = 98,569.95

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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.