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Finding the Fourth Proportional to 253,204, 349,407.33 and 138,459.88

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Solution

The fourth proportional to 253,204, 349,407.33 and 138,459.88 is: 191,066.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,204 : 349,407.33 = 138,459.88 : x
  2. Step 2: Convert to fraction form
    253,204/349,407.33 = 138,459.88/x
  3. Step 3: Cross multiply
    253,204x = 349,407.33 × 138,459.88
  4. Step 4: Simplify right side
    253,204x = 48,378,896,982.92
  5. Step 5: Solve for x
    x = 48,378,896,982.92/253,204
  6. Step 6: Final answer
    x = 191,066.87

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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.