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Finding the Fourth Proportional to 100,268.33, 138,373.62 and 54,946.40

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Solution

The fourth proportional to 100,268.33, 138,373.62 and 54,946.40 is: 75,827.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,268.33 : 138,373.62 = 54,946.40 : x
  2. Step 2: Convert to fraction form
    100,268.33/138,373.62 = 54,946.40/x
  3. Step 3: Cross multiply
    100,268.33x = 138,373.62 × 54,946.40
  4. Step 4: Simplify right side
    100,268.33x = 7,603,132,154.40
  5. Step 5: Solve for x
    x = 7,603,132,154.40/100,268.33
  6. Step 6: Final answer
    x = 75,827.85

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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.