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Finding the Fourth Proportional to 203,202.76, 280,422.06 and 112,560.12

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Solution

The fourth proportional to 203,202.76, 280,422.06 and 112,560.12 is: 155,334.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,202.76 : 280,422.06 = 112,560.12 : x
  2. Step 2: Convert to fraction form
    203,202.76/280,422.06 = 112,560.12/x
  3. Step 3: Cross multiply
    203,202.76x = 280,422.06 × 112,560.12
  4. Step 4: Simplify right side
    203,202.76x = 31,564,340,724.25
  5. Step 5: Solve for x
    x = 31,564,340,724.25/203,202.76
  6. Step 6: Final answer
    x = 155,334.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.