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Finding the Fourth Proportional to 204,134.76, 306,207.90 and 56,390.76

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Solution

The fourth proportional to 204,134.76, 306,207.90 and 56,390.76 is: 84,587.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,134.76 : 306,207.90 = 56,390.76 : x
  2. Step 2: Convert to fraction form
    204,134.76/306,207.90 = 56,390.76/x
  3. Step 3: Cross multiply
    204,134.76x = 306,207.90 × 56,390.76
  4. Step 4: Simplify right side
    204,134.76x = 17,267,296,199.00
  5. Step 5: Solve for x
    x = 17,267,296,199.00/204,134.76
  6. Step 6: Final answer
    x = 84,587.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.