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Finding the Fourth Proportional to 100,154.92, 138,213.83 and 54,835.84

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Solution

The fourth proportional to 100,154.92, 138,213.83 and 54,835.84 is: 75,673.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,154.92 : 138,213.83 = 54,835.84 : x
  2. Step 2: Convert to fraction form
    100,154.92/138,213.83 = 54,835.84/x
  3. Step 3: Cross multiply
    100,154.92x = 138,213.83 × 54,835.84
  4. Step 4: Simplify right side
    100,154.92x = 7,579,071,467.67
  5. Step 5: Solve for x
    x = 7,579,071,467.67/100,154.92
  6. Step 6: Final answer
    x = 75,673.48

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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.