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Finding the Fourth Proportional to 132,543.98, 198,809.48 and 49,431.50

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Solution

The fourth proportional to 132,543.98, 198,809.48 and 49,431.50 is: 74,144.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,543.98 : 198,809.48 = 49,431.50 : x
  2. Step 2: Convert to fraction form
    132,543.98/198,809.48 = 49,431.50/x
  3. Step 3: Cross multiply
    132,543.98x = 198,809.48 × 49,431.50
  4. Step 4: Simplify right side
    132,543.98x = 9,827,450,810.62
  5. Step 5: Solve for x
    x = 9,827,450,810.62/132,543.98
  6. Step 6: Final answer
    x = 74,144.83

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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.