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Finding the Fourth Proportional to 132,543.98, 198,940.54 and 69,409.40

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Solution

The fourth proportional to 132,543.98, 198,940.54 and 69,409.40 is: 104,179.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,543.98 : 198,940.54 = 69,409.40 : x
  2. Step 2: Convert to fraction form
    132,543.98/198,940.54 = 69,409.40/x
  3. Step 3: Cross multiply
    132,543.98x = 198,940.54 × 69,409.40
  4. Step 4: Simplify right side
    132,543.98x = 13,808,343,517.08
  5. Step 5: Solve for x
    x = 13,808,343,517.08/132,543.98
  6. Step 6: Final answer
    x = 104,179.33

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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.