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Finding the Fourth Proportional to 189,758.86, 284,685 and 133,708.42

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Solution

The fourth proportional to 189,758.86, 284,685 and 133,708.42 is: 200,595.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,758.86 : 284,685 = 133,708.42 : x
  2. Step 2: Convert to fraction form
    189,758.86/284,685 = 133,708.42/x
  3. Step 3: Cross multiply
    189,758.86x = 284,685 × 133,708.42
  4. Step 4: Simplify right side
    189,758.86x = 38,064,781,547.70
  5. Step 5: Solve for x
    x = 38,064,781,547.70/189,758.86
  6. Step 6: Final answer
    x = 200,595.54

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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.