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Finding the Fourth Proportional to 105,628.32, 145,780.92 and 68,011.92

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Solution

The fourth proportional to 105,628.32, 145,780.92 and 68,011.92 is: 93,865.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,628.32 : 145,780.92 = 68,011.92 : x
  2. Step 2: Convert to fraction form
    105,628.32/145,780.92 = 68,011.92/x
  3. Step 3: Cross multiply
    105,628.32x = 145,780.92 × 68,011.92
  4. Step 4: Simplify right side
    105,628.32x = 9,914,840,268.57
  5. Step 5: Solve for x
    x = 9,914,840,268.57/105,628.32
  6. Step 6: Final answer
    x = 93,865.36

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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.