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Finding the Fourth Proportional to 105,847.52, 158,660.58 and 77,725.76

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Solution

The fourth proportional to 105,847.52, 158,660.58 and 77,725.76 is: 116,507.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,847.52 : 158,660.58 = 77,725.76 : x
  2. Step 2: Convert to fraction form
    105,847.52/158,660.58 = 77,725.76/x
  3. Step 3: Cross multiply
    105,847.52x = 158,660.58 × 77,725.76
  4. Step 4: Simplify right side
    105,847.52x = 12,332,014,162.54
  5. Step 5: Solve for x
    x = 12,332,014,162.54/105,847.52
  6. Step 6: Final answer
    x = 116,507.35

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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.