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Finding the Fourth Proportional to 123,794.32, 170,976.86 and 83,438.52

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Solution

The fourth proportional to 123,794.32, 170,976.86 and 83,438.52 is: 115,239.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,794.32 : 170,976.86 = 83,438.52 : x
  2. Step 2: Convert to fraction form
    123,794.32/170,976.86 = 83,438.52/x
  3. Step 3: Cross multiply
    123,794.32x = 170,976.86 × 83,438.52
  4. Step 4: Simplify right side
    123,794.32x = 14,266,056,152.65
  5. Step 5: Solve for x
    x = 14,266,056,152.65/123,794.32
  6. Step 6: Final answer
    x = 115,239.99

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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.