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Finding the Fourth Proportional to 208,049.80, 312,074.70 and 158,283.40

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Solution

The fourth proportional to 208,049.80, 312,074.70 and 158,283.40 is: 237,425.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,049.80 : 312,074.70 = 158,283.40 : x
  2. Step 2: Convert to fraction form
    208,049.80/312,074.70 = 158,283.40/x
  3. Step 3: Cross multiply
    208,049.80x = 312,074.70 × 158,283.40
  4. Step 4: Simplify right side
    208,049.80x = 49,396,244,569.98
  5. Step 5: Solve for x
    x = 49,396,244,569.98/208,049.80
  6. Step 6: Final answer
    x = 237,425.10

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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.