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Finding the Fourth Proportional to 189,772.29, 284,705.13 and 133,721.82

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Solution

The fourth proportional to 189,772.29, 284,705.13 and 133,721.82 is: 200,615.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,772.29 : 284,705.13 = 133,721.82 : x
  2. Step 2: Convert to fraction form
    189,772.29/284,705.13 = 133,721.82/x
  3. Step 3: Cross multiply
    189,772.29x = 284,705.13 × 133,721.82
  4. Step 4: Simplify right side
    189,772.29x = 38,071,288,146.94
  5. Step 5: Solve for x
    x = 38,071,288,146.94/189,772.29
  6. Step 6: Final answer
    x = 200,615.63

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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.