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Finding the Fourth Proportional to 100,032.62, 138,039.86 and 54,701.78

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Solution

The fourth proportional to 100,032.62, 138,039.86 and 54,701.78 is: 75,485.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,032.62 : 138,039.86 = 54,701.78 : x
  2. Step 2: Convert to fraction form
    100,032.62/138,039.86 = 54,701.78/x
  3. Step 3: Cross multiply
    100,032.62x = 138,039.86 × 54,701.78
  4. Step 4: Simplify right side
    100,032.62x = 7,551,026,052.95
  5. Step 5: Solve for x
    x = 7,551,026,052.95/100,032.62
  6. Step 6: Final answer
    x = 75,485.64

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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.