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Finding the Fourth Proportional to 215,449.80, 323,322.32 and 75,208.42

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Solution

The fourth proportional to 215,449.80, 323,322.32 and 75,208.42 is: 112,864.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,449.80 : 323,322.32 = 75,208.42 : x
  2. Step 2: Convert to fraction form
    215,449.80/323,322.32 = 75,208.42/x
  3. Step 3: Cross multiply
    215,449.80x = 323,322.32 × 75,208.42
  4. Step 4: Simplify right side
    215,449.80x = 24,316,560,837.93
  5. Step 5: Solve for x
    x = 24,316,560,837.93/215,449.80
  6. Step 6: Final answer
    x = 112,864.16

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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.