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Finding the Fourth Proportional to 205,191.77, 307,772.28 and 72,073.20

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Solution

The fourth proportional to 205,191.77, 307,772.28 and 72,073.20 is: 108,104.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,191.77 : 307,772.28 = 72,073.20 : x
  2. Step 2: Convert to fraction form
    205,191.77/307,772.28 = 72,073.20/x
  3. Step 3: Cross multiply
    205,191.77x = 307,772.28 × 72,073.20
  4. Step 4: Simplify right side
    205,191.77x = 22,182,133,090.90
  5. Step 5: Solve for x
    x = 22,182,133,090.90/205,191.77
  6. Step 6: Final answer
    x = 108,104.40

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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.