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Finding the Fourth Proportional to 189,565.28, 284,242.08 and 119,294

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Solution

The fourth proportional to 189,565.28, 284,242.08 and 119,294 is: 178,874.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,565.28 : 284,242.08 = 119,294 : x
  2. Step 2: Convert to fraction form
    189,565.28/284,242.08 = 119,294/x
  3. Step 3: Cross multiply
    189,565.28x = 284,242.08 × 119,294
  4. Step 4: Simplify right side
    189,565.28x = 33,908,374,691.52
  5. Step 5: Solve for x
    x = 33,908,374,691.52/189,565.28
  6. Step 6: Final answer
    x = 178,874.39

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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.