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Finding the Fourth Proportional to 281,229.85, 421,877.54 and 98,804.59

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Solution

The fourth proportional to 281,229.85, 421,877.54 and 98,804.59 is: 148,218.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,229.85 : 421,877.54 = 98,804.59 : x
  2. Step 2: Convert to fraction form
    281,229.85/421,877.54 = 98,804.59/x
  3. Step 3: Cross multiply
    281,229.85x = 421,877.54 × 98,804.59
  4. Step 4: Simplify right side
    281,229.85x = 41,683,434,766.50
  5. Step 5: Solve for x
    x = 41,683,434,766.50/281,229.85
  6. Step 6: Final answer
    x = 148,218.39

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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.