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Finding the Fourth Proportional to 100,632.41, 138,873.02 and 55,315.04

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Solution

The fourth proportional to 100,632.41, 138,873.02 and 55,315.04 is: 76,334.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,632.41 : 138,873.02 = 55,315.04 : x
  2. Step 2: Convert to fraction form
    100,632.41/138,873.02 = 55,315.04/x
  3. Step 3: Cross multiply
    100,632.41x = 138,873.02 × 55,315.04
  4. Step 4: Simplify right side
    100,632.41x = 7,681,766,656.22
  5. Step 5: Solve for x
    x = 7,681,766,656.22/100,632.41
  6. Step 6: Final answer
    x = 76,334.92

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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.