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Finding the Fourth Proportional to 198,014, 273,259.32 and 108,590

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Solution

The fourth proportional to 198,014, 273,259.32 and 108,590 is: 149,854.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,014 : 273,259.32 = 108,590 : x
  2. Step 2: Convert to fraction form
    198,014/273,259.32 = 108,590/x
  3. Step 3: Cross multiply
    198,014x = 273,259.32 × 108,590
  4. Step 4: Simplify right side
    198,014x = 29,673,229,558.80
  5. Step 5: Solve for x
    x = 29,673,229,558.80/198,014
  6. Step 6: Final answer
    x = 149,854.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.