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Finding the Fourth Proportional to 203,290.95, 280,537.32 and 112,646.12

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Solution

The fourth proportional to 203,290.95, 280,537.32 and 112,646.12 is: 155,449.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,290.95 : 280,537.32 = 112,646.12 : x
  2. Step 2: Convert to fraction form
    203,290.95/280,537.32 = 112,646.12/x
  3. Step 3: Cross multiply
    203,290.95x = 280,537.32 × 112,646.12
  4. Step 4: Simplify right side
    203,290.95x = 31,601,440,613.20
  5. Step 5: Solve for x
    x = 31,601,440,613.20/203,290.95
  6. Step 6: Final answer
    x = 155,449.32

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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.