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Finding the Fourth Proportional to 99,684, 149,334.12 and 78,512.04

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Solution

The fourth proportional to 99,684, 149,334.12 and 78,512.04 is: 117,616.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,684 : 149,334.12 = 78,512.04 : x
  2. Step 2: Convert to fraction form
    99,684/149,334.12 = 78,512.04/x
  3. Step 3: Cross multiply
    99,684x = 149,334.12 × 78,512.04
  4. Step 4: Simplify right side
    99,684x = 11,724,526,402.80
  5. Step 5: Solve for x
    x = 11,724,526,402.80/99,684
  6. Step 6: Final answer
    x = 117,616.93

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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.