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Finding the Fourth Proportional to 265,866.13, 398,751.84 and 105,928.65

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Solution

The fourth proportional to 265,866.13, 398,751.84 and 105,928.65 is: 158,874.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,866.13 : 398,751.84 = 105,928.65 : x
  2. Step 2: Convert to fraction form
    265,866.13/398,751.84 = 105,928.65/x
  3. Step 3: Cross multiply
    265,866.13x = 398,751.84 × 105,928.65
  4. Step 4: Simplify right side
    265,866.13x = 42,239,245,760.90
  5. Step 5: Solve for x
    x = 42,239,245,760.90/265,866.13
  6. Step 6: Final answer
    x = 158,874.11

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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.