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Finding the Fourth Proportional to 100,291.38, 138,403.74 and 54,973.71

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Solution

The fourth proportional to 100,291.38, 138,403.74 and 54,973.71 is: 75,864.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,291.38 : 138,403.74 = 54,973.71 : x
  2. Step 2: Convert to fraction form
    100,291.38/138,403.74 = 54,973.71/x
  3. Step 3: Cross multiply
    100,291.38x = 138,403.74 × 54,973.71
  4. Step 4: Simplify right side
    100,291.38x = 7,608,567,065.68
  5. Step 5: Solve for x
    x = 7,608,567,065.68/100,291.38
  6. Step 6: Final answer
    x = 75,864.62

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1.5x scale

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.