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Finding the Fourth Proportional to 99,892.62, 149,838.39 and 40,728.06

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Solution

The fourth proportional to 99,892.62, 149,838.39 and 40,728.06 is: 61,091.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,892.62 : 149,838.39 = 40,728.06 : x
  2. Step 2: Convert to fraction form
    99,892.62/149,838.39 = 40,728.06/x
  3. Step 3: Cross multiply
    99,892.62x = 149,838.39 × 40,728.06
  4. Step 4: Simplify right side
    99,892.62x = 6,102,626,938.22
  5. Step 5: Solve for x
    x = 6,102,626,938.22/99,892.62
  6. Step 6: Final answer
    x = 61,091.87

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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.