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Finding the Fourth Proportional to 133,115.39, 199,354.59 and 76,838.40

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Solution

The fourth proportional to 133,115.39, 199,354.59 and 76,838.40 is: 115,073.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,115.39 : 199,354.59 = 76,838.40 : x
  2. Step 2: Convert to fraction form
    133,115.39/199,354.59 = 76,838.40/x
  3. Step 3: Cross multiply
    133,115.39x = 199,354.59 × 76,838.40
  4. Step 4: Simplify right side
    133,115.39x = 15,318,087,728.26
  5. Step 5: Solve for x
    x = 15,318,087,728.26/133,115.39
  6. Step 6: Final answer
    x = 115,073.76

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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.