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Finding the Fourth Proportional to 206,146.84, 284,356.90 and 136,295.90

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Solution

The fourth proportional to 206,146.84, 284,356.90 and 136,295.90 is: 188,005.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,146.84 : 284,356.90 = 136,295.90 : x
  2. Step 2: Convert to fraction form
    206,146.84/284,356.90 = 136,295.90/x
  3. Step 3: Cross multiply
    206,146.84x = 284,356.90 × 136,295.90
  4. Step 4: Simplify right side
    206,146.84x = 38,756,679,606.71
  5. Step 5: Solve for x
    x = 38,756,679,606.71/206,146.84
  6. Step 6: Final answer
    x = 188,005.21

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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.