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Finding the Fourth Proportional to 100,335.41, 138,462.12 and 55,012.65

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Solution

The fourth proportional to 100,335.41, 138,462.12 and 55,012.65 is: 75,917.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,335.41 : 138,462.12 = 55,012.65 : x
  2. Step 2: Convert to fraction form
    100,335.41/138,462.12 = 55,012.65/x
  3. Step 3: Cross multiply
    100,335.41x = 138,462.12 × 55,012.65
  4. Step 4: Simplify right side
    100,335.41x = 7,617,168,145.82
  5. Step 5: Solve for x
    x = 7,617,168,145.82/100,335.41
  6. Step 6: Final answer
    x = 75,917.05

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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.