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Finding the Fourth Proportional to 203,486.14, 280,810.86 and 112,855.93

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Solution

The fourth proportional to 203,486.14, 280,810.86 and 112,855.93 is: 155,741.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,486.14 : 280,810.86 = 112,855.93 : x
  2. Step 2: Convert to fraction form
    203,486.14/280,810.86 = 112,855.93/x
  3. Step 3: Cross multiply
    203,486.14x = 280,810.86 × 112,855.93
  4. Step 4: Simplify right side
    203,486.14x = 31,691,170,759.40
  5. Step 5: Solve for x
    x = 31,691,170,759.40/203,486.14
  6. Step 6: Final answer
    x = 155,741.18

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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.