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Finding the Fourth Proportional to 281,916.86, 422,876.70 and 71,554.86

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Solution

The fourth proportional to 281,916.86, 422,876.70 and 71,554.86 is: 107,332.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,916.86 : 422,876.70 = 71,554.86 : x
  2. Step 2: Convert to fraction form
    281,916.86/422,876.70 = 71,554.86/x
  3. Step 3: Cross multiply
    281,916.86x = 422,876.70 × 71,554.86
  4. Step 4: Simplify right side
    281,916.86x = 30,258,883,065.76
  5. Step 5: Solve for x
    x = 30,258,883,065.76/281,916.86
  6. Step 6: Final answer
    x = 107,332.65

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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.