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Finding the Fourth Proportional to 198,572.90, 274,070.48 and 117,984.94

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Solution

The fourth proportional to 198,572.90, 274,070.48 and 117,984.94 is: 162,842.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,572.90 : 274,070.48 = 117,984.94 : x
  2. Step 2: Convert to fraction form
    198,572.90/274,070.48 = 117,984.94/x
  3. Step 3: Cross multiply
    198,572.90x = 274,070.48 × 117,984.94
  4. Step 4: Simplify right side
    198,572.90x = 32,336,189,138.57
  5. Step 5: Solve for x
    x = 32,336,189,138.57/198,572.90
  6. Step 6: Final answer
    x = 162,842.91

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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.