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Finding the Fourth Proportional to 100,032.83, 138,043.41 and 54,708.47

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Solution

The fourth proportional to 100,032.83, 138,043.41 and 54,708.47 is: 75,496.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,032.83 : 138,043.41 = 54,708.47 : x
  2. Step 2: Convert to fraction form
    100,032.83/138,043.41 = 54,708.47/x
  3. Step 3: Cross multiply
    100,032.83x = 138,043.41 × 54,708.47
  4. Step 4: Simplify right side
    100,032.83x = 7,552,143,754.68
  5. Step 5: Solve for x
    x = 7,552,143,754.68/100,032.83
  6. Step 6: Final answer
    x = 75,496.65

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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.