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Finding the Fourth Proportional to 100,201.79, 138,280.55 and 54,881.68

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Solution

The fourth proportional to 100,201.79, 138,280.55 and 54,881.68 is: 75,737.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,201.79 : 138,280.55 = 54,881.68 : x
  2. Step 2: Convert to fraction form
    100,201.79/138,280.55 = 54,881.68/x
  3. Step 3: Cross multiply
    100,201.79x = 138,280.55 × 54,881.68
  4. Step 4: Simplify right side
    100,201.79x = 7,589,068,895.32
  5. Step 5: Solve for x
    x = 7,589,068,895.32/100,201.79
  6. Step 6: Final answer
    x = 75,737.86

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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.