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Finding the Fourth Proportional to 205,200.10, 307,800.15 and 72,100.90

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Solution

The fourth proportional to 205,200.10, 307,800.15 and 72,100.90 is: 108,151.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,200.10 : 307,800.15 = 72,100.90 : x
  2. Step 2: Convert to fraction form
    205,200.10/307,800.15 = 72,100.90/x
  3. Step 3: Cross multiply
    205,200.10x = 307,800.15 × 72,100.90
  4. Step 4: Simplify right side
    205,200.10x = 22,192,667,835.14
  5. Step 5: Solve for x
    x = 22,192,667,835.14/205,200.10
  6. Step 6: Final answer
    x = 108,151.35

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1.5x scale

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.