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Finding the Fourth Proportional to 205,207.76, 307,844.04 and 78,842.96

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Solution

The fourth proportional to 205,207.76, 307,844.04 and 78,842.96 is: 118,276.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,207.76 : 307,844.04 = 78,842.96 : x
  2. Step 2: Convert to fraction form
    205,207.76/307,844.04 = 78,842.96/x
  3. Step 3: Cross multiply
    205,207.76x = 307,844.04 × 78,842.96
  4. Step 4: Simplify right side
    205,207.76x = 24,271,335,331.96
  5. Step 5: Solve for x
    x = 24,271,335,331.96/205,207.76
  6. Step 6: Final answer
    x = 118,276.89

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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.