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Finding the Fourth Proportional to 203,482.08, 280,808.64 and 112,842

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Solution

The fourth proportional to 203,482.08, 280,808.64 and 112,842 is: 155,723.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,482.08 : 280,808.64 = 112,842 : x
  2. Step 2: Convert to fraction form
    203,482.08/280,808.64 = 112,842/x
  3. Step 3: Cross multiply
    203,482.08x = 280,808.64 × 112,842
  4. Step 4: Simplify right side
    203,482.08x = 31,687,008,554.88
  5. Step 5: Solve for x
    x = 31,687,008,554.88/203,482.08
  6. Step 6: Final answer
    x = 155,723.83

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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.