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Finding the Fourth Proportional to 77,838.30, 116,789.85 and 38,395.89

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Solution

The fourth proportional to 77,838.30, 116,789.85 and 38,395.89 is: 57,609.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,838.30 : 116,789.85 = 38,395.89 : x
  2. Step 2: Convert to fraction form
    77,838.30/116,789.85 = 38,395.89/x
  3. Step 3: Cross multiply
    77,838.30x = 116,789.85 × 38,395.89
  4. Step 4: Simplify right side
    77,838.30x = 4,484,250,233.72
  5. Step 5: Solve for x
    x = 4,484,250,233.72/77,838.30
  6. Step 6: Final answer
    x = 57,609.82

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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.