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Finding the Fourth Proportional to 100,153.92, 138,212.45 and 54,834.84

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Solution

The fourth proportional to 100,153.92, 138,212.45 and 54,834.84 is: 75,672.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,153.92 : 138,212.45 = 54,834.84 : x
  2. Step 2: Convert to fraction form
    100,153.92/138,212.45 = 54,834.84/x
  3. Step 3: Cross multiply
    100,153.92x = 138,212.45 × 54,834.84
  4. Step 4: Simplify right side
    100,153.92x = 7,578,857,581.76
  5. Step 5: Solve for x
    x = 7,578,857,581.76/100,153.92
  6. Step 6: Final answer
    x = 75,672.10

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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.