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Finding the Fourth Proportional to 100,155.92, 138,215.21 and 54,836.84

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Solution

The fourth proportional to 100,155.92, 138,215.21 and 54,836.84 is: 75,674.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,155.92 : 138,215.21 = 54,836.84 : x
  2. Step 2: Convert to fraction form
    100,155.92/138,215.21 = 54,836.84/x
  3. Step 3: Cross multiply
    100,155.92x = 138,215.21 × 54,836.84
  4. Step 4: Simplify right side
    100,155.92x = 7,579,285,356.34
  5. Step 5: Solve for x
    x = 7,579,285,356.34/100,155.92
  6. Step 6: Final answer
    x = 75,674.86

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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.