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Finding the Fourth Proportional to 189,897, 284,846.12 and 71,536.56

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Solution

The fourth proportional to 189,897, 284,846.12 and 71,536.56 is: 107,305.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,897 : 284,846.12 = 71,536.56 : x
  2. Step 2: Convert to fraction form
    189,897/284,846.12 = 71,536.56/x
  3. Step 3: Cross multiply
    189,897x = 284,846.12 × 71,536.56
  4. Step 4: Simplify right side
    189,897x = 20,376,911,554.15
  5. Step 5: Solve for x
    x = 20,376,911,554.15/189,897
  6. Step 6: Final answer
    x = 107,305.07

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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.