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Finding the Fourth Proportional to 154,503.85, 231,841.89 and 83,424.98

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Solution

The fourth proportional to 154,503.85, 231,841.89 and 83,424.98 is: 125,183.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,503.85 : 231,841.89 = 83,424.98 : x
  2. Step 2: Convert to fraction form
    154,503.85/231,841.89 = 83,424.98/x
  3. Step 3: Cross multiply
    154,503.85x = 231,841.89 × 83,424.98
  4. Step 4: Simplify right side
    154,503.85x = 19,341,404,619.29
  5. Step 5: Solve for x
    x = 19,341,404,619.29/154,503.85
  6. Step 6: Final answer
    x = 125,183.97

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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.