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Finding the Fourth Proportional to 281,701.92, 388,751.70 and 154,374.78

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Solution

The fourth proportional to 281,701.92, 388,751.70 and 154,374.78 is: 213,038.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,701.92 : 388,751.70 = 154,374.78 : x
  2. Step 2: Convert to fraction form
    281,701.92/388,751.70 = 154,374.78/x
  3. Step 3: Cross multiply
    281,701.92x = 388,751.70 × 154,374.78
  4. Step 4: Simplify right side
    281,701.92x = 60,013,458,162.13
  5. Step 5: Solve for x
    x = 60,013,458,162.13/281,701.92
  6. Step 6: Final answer
    x = 213,038.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.