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Finding the Fourth Proportional to 77,902.42, 116,853.54 and 18,738.04

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Solution

The fourth proportional to 77,902.42, 116,853.54 and 18,738.04 is: 28,107.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,902.42 : 116,853.54 = 18,738.04 : x
  2. Step 2: Convert to fraction form
    77,902.42/116,853.54 = 18,738.04/x
  3. Step 3: Cross multiply
    77,902.42x = 116,853.54 × 18,738.04
  4. Step 4: Simplify right side
    77,902.42x = 2,189,606,306.66
  5. Step 5: Solve for x
    x = 2,189,606,306.66/77,902.42
  6. Step 6: Final answer
    x = 28,107.04

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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.