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Finding the Fourth Proportional to 189,404.80, 284,033.28 and 71,011.52

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Solution

The fourth proportional to 189,404.80, 284,033.28 and 71,011.52 is: 106,489.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,404.80 : 284,033.28 = 71,011.52 : x
  2. Step 2: Convert to fraction form
    189,404.80/284,033.28 = 71,011.52/x
  3. Step 3: Cross multiply
    189,404.80x = 284,033.28 × 71,011.52
  4. Step 4: Simplify right side
    189,404.80x = 20,169,634,943.39
  5. Step 5: Solve for x
    x = 20,169,634,943.39/189,404.80
  6. Step 6: Final answer
    x = 106,489.57

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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.