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Finding the Fourth Proportional to 198,907.90, 274,492.72 and 108,263.76

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Solution

The fourth proportional to 198,907.90, 274,492.72 and 108,263.76 is: 149,403.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,907.90 : 274,492.72 = 108,263.76 : x
  2. Step 2: Convert to fraction form
    198,907.90/274,492.72 = 108,263.76/x
  3. Step 3: Cross multiply
    198,907.90x = 274,492.72 × 108,263.76
  4. Step 4: Simplify right side
    198,907.90x = 29,717,613,959.83
  5. Step 5: Solve for x
    x = 29,717,613,959.83/198,907.90
  6. Step 6: Final answer
    x = 149,403.89

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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.