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Finding the Fourth Proportional to 205,188.77, 307,767.78 and 72,070.20

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Solution

The fourth proportional to 205,188.77, 307,767.78 and 72,070.20 is: 108,099.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,188.77 : 307,767.78 = 72,070.20 : x
  2. Step 2: Convert to fraction form
    205,188.77/307,767.78 = 72,070.20/x
  3. Step 3: Cross multiply
    205,188.77x = 307,767.78 × 72,070.20
  4. Step 4: Simplify right side
    205,188.77x = 22,180,885,458.16
  5. Step 5: Solve for x
    x = 22,180,885,458.16/205,188.77
  6. Step 6: Final answer
    x = 108,099.90

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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.