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Finding the Fourth Proportional to 205,223.10, 307,865.43 and 72,079.89

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Solution

The fourth proportional to 205,223.10, 307,865.43 and 72,079.89 is: 108,130.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,223.10 : 307,865.43 = 72,079.89 : x
  2. Step 2: Convert to fraction form
    205,223.10/307,865.43 = 72,079.89/x
  3. Step 3: Cross multiply
    205,223.10x = 307,865.43 × 72,079.89
  4. Step 4: Simplify right side
    205,223.10x = 22,190,906,329.20
  5. Step 5: Solve for x
    x = 22,190,906,329.20/205,223.10
  6. Step 6: Final answer
    x = 108,130.65

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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.