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Finding the Fourth Proportional to 106,301, 146,721.30 and 61,614.92

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Solution

The fourth proportional to 106,301, 146,721.30 and 61,614.92 is: 85,043.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,301 : 146,721.30 = 61,614.92 : x
  2. Step 2: Convert to fraction form
    106,301/146,721.30 = 61,614.92/x
  3. Step 3: Cross multiply
    106,301x = 146,721.30 × 61,614.92
  4. Step 4: Simplify right side
    106,301x = 9,040,221,161.80
  5. Step 5: Solve for x
    x = 9,040,221,161.80/106,301
  6. Step 6: Final answer
    x = 85,043.61

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1.5x scale

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.