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Finding the Fourth Proportional to 106,447.69, 146,911.13 and 61,139.85

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Solution

The fourth proportional to 106,447.69, 146,911.13 and 61,139.85 is: 84,380.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,447.69 : 146,911.13 = 61,139.85 : x
  2. Step 2: Convert to fraction form
    106,447.69/146,911.13 = 61,139.85/x
  3. Step 3: Cross multiply
    106,447.69x = 146,911.13 × 61,139.85
  4. Step 4: Simplify right side
    106,447.69x = 8,982,124,145.83
  5. Step 5: Solve for x
    x = 8,982,124,145.83/106,447.69
  6. Step 6: Final answer
    x = 84,380.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.