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Finding the Fourth Proportional to 203,447.15, 280,755.68 and 112,803.15

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Solution

The fourth proportional to 203,447.15, 280,755.68 and 112,803.15 is: 155,667.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,447.15 : 280,755.68 = 112,803.15 : x
  2. Step 2: Convert to fraction form
    203,447.15/280,755.68 = 112,803.15/x
  3. Step 3: Cross multiply
    203,447.15x = 280,755.68 × 112,803.15
  4. Step 4: Simplify right side
    203,447.15x = 31,670,125,084.39
  5. Step 5: Solve for x
    x = 31,670,125,084.39/203,447.15
  6. Step 6: Final answer
    x = 155,667.58

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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.