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Finding the Fourth Proportional to 100,217.84, 138,302.84 and 57,196.47

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Solution

The fourth proportional to 100,217.84, 138,302.84 and 57,196.47 is: 78,932.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,217.84 : 138,302.84 = 57,196.47 : x
  2. Step 2: Convert to fraction form
    100,217.84/138,302.84 = 57,196.47/x
  3. Step 3: Cross multiply
    100,217.84x = 138,302.84 × 57,196.47
  4. Step 4: Simplify right side
    100,217.84x = 7,910,434,238.97
  5. Step 5: Solve for x
    x = 7,910,434,238.97/100,217.84
  6. Step 6: Final answer
    x = 78,932.40

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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.