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Finding the Fourth Proportional to 99,767.30, 149,678.28 and 49,787.06

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Solution

The fourth proportional to 99,767.30, 149,678.28 and 49,787.06 is: 74,694.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,767.30 : 149,678.28 = 49,787.06 : x
  2. Step 2: Convert to fraction form
    99,767.30/149,678.28 = 49,787.06/x
  3. Step 3: Cross multiply
    99,767.30x = 149,678.28 × 49,787.06
  4. Step 4: Simplify right side
    99,767.30x = 7,452,040,758.67
  5. Step 5: Solve for x
    x = 7,452,040,758.67/99,767.30
  6. Step 6: Final answer
    x = 74,694.22

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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.