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Finding the Fourth Proportional to 205,065.60, 307,641.60 and 80,406.24

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Solution

The fourth proportional to 205,065.60, 307,641.60 and 80,406.24 is: 120,626.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,065.60 : 307,641.60 = 80,406.24 : x
  2. Step 2: Convert to fraction form
    205,065.60/307,641.60 = 80,406.24/x
  3. Step 3: Cross multiply
    205,065.60x = 307,641.60 × 80,406.24
  4. Step 4: Simplify right side
    205,065.60x = 24,736,304,323.58
  5. Step 5: Solve for x
    x = 24,736,304,323.58/205,065.60
  6. Step 6: Final answer
    x = 120,626.30

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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.