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Finding the Fourth Proportional to 189,955.73, 284,934.13 and 77,635.97

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Solution

The fourth proportional to 189,955.73, 284,934.13 and 77,635.97 is: 116,454.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,955.73 : 284,934.13 = 77,635.97 : x
  2. Step 2: Convert to fraction form
    189,955.73/284,934.13 = 77,635.97/x
  3. Step 3: Cross multiply
    189,955.73x = 284,934.13 × 77,635.97
  4. Step 4: Simplify right side
    189,955.73x = 22,121,137,568.66
  5. Step 5: Solve for x
    x = 22,121,137,568.66/189,955.73
  6. Step 6: Final answer
    x = 116,454.17

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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.