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Finding the Fourth Proportional to 198,068.76, 296,971.70 and 71,692.47

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Solution

The fourth proportional to 198,068.76, 296,971.70 and 71,692.47 is: 107,491.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,068.76 : 296,971.70 = 71,692.47 : x
  2. Step 2: Convert to fraction form
    198,068.76/296,971.70 = 71,692.47/x
  3. Step 3: Cross multiply
    198,068.76x = 296,971.70 × 71,692.47
  4. Step 4: Simplify right side
    198,068.76x = 21,290,634,334.64
  5. Step 5: Solve for x
    x = 21,290,634,334.64/198,068.76
  6. Step 6: Final answer
    x = 107,491.13

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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.