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Finding the Fourth Proportional to 205,197.78, 307,781.28 and 72,079.20

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Solution

The fourth proportional to 205,197.78, 307,781.28 and 72,079.20 is: 108,113.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,197.78 : 307,781.28 = 72,079.20 : x
  2. Step 2: Convert to fraction form
    205,197.78/307,781.28 = 72,079.20/x
  3. Step 3: Cross multiply
    205,197.78x = 307,781.28 × 72,079.20
  4. Step 4: Simplify right side
    205,197.78x = 22,184,628,437.38
  5. Step 5: Solve for x
    x = 22,184,628,437.38/205,197.78
  6. Step 6: Final answer
    x = 108,113.39

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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.