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Finding the Fourth Proportional to 206,548.70, 285,013.77 and 115,885.76

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Solution

The fourth proportional to 206,548.70, 285,013.77 and 115,885.76 is: 159,909.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,548.70 : 285,013.77 = 115,885.76 : x
  2. Step 2: Convert to fraction form
    206,548.70/285,013.77 = 115,885.76/x
  3. Step 3: Cross multiply
    206,548.70x = 285,013.77 × 115,885.76
  4. Step 4: Simplify right side
    206,548.70x = 33,029,037,346.92
  5. Step 5: Solve for x
    x = 33,029,037,346.92/206,548.70
  6. Step 6: Final answer
    x = 159,909.20

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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.