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Finding the Fourth Proportional to 106,139.52, 146,373.12 and 65,859.84

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Solution

The fourth proportional to 106,139.52, 146,373.12 and 65,859.84 is: 90,824.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,139.52 : 146,373.12 = 65,859.84 : x
  2. Step 2: Convert to fraction form
    106,139.52/146,373.12 = 65,859.84/x
  3. Step 3: Cross multiply
    106,139.52x = 146,373.12 × 65,859.84
  4. Step 4: Simplify right side
    106,139.52x = 9,640,110,263.50
  5. Step 5: Solve for x
    x = 9,640,110,263.50/106,139.52
  6. Step 6: Final answer
    x = 90,824.89

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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.