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Finding the Fourth Proportional to 206,359.94, 284,671.90 and 134,781.86

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Solution

The fourth proportional to 206,359.94, 284,671.90 and 134,781.86 is: 185,930.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,359.94 : 284,671.90 = 134,781.86 : x
  2. Step 2: Convert to fraction form
    206,359.94/284,671.90 = 134,781.86/x
  3. Step 3: Cross multiply
    206,359.94x = 284,671.90 × 134,781.86
  4. Step 4: Simplify right side
    206,359.94x = 38,368,606,411.42
  5. Step 5: Solve for x
    x = 38,368,606,411.42/206,359.94
  6. Step 6: Final answer
    x = 185,930.50

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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.