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Finding the Fourth Proportional to 99,808.10, 149,712.15 and 97,839.80

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Solution

The fourth proportional to 99,808.10, 149,712.15 and 97,839.80 is: 146,759.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,808.10 : 149,712.15 = 97,839.80 : x
  2. Step 2: Convert to fraction form
    99,808.10/149,712.15 = 97,839.80/x
  3. Step 3: Cross multiply
    99,808.10x = 149,712.15 × 97,839.80
  4. Step 4: Simplify right side
    99,808.10x = 14,647,806,813.57
  5. Step 5: Solve for x
    x = 14,647,806,813.57/99,808.10
  6. Step 6: Final answer
    x = 146,759.70

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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.