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Finding the Fourth Proportional to 144,721.64, 199,716.47 and 84,333.71

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Solution

The fourth proportional to 144,721.64, 199,716.47 and 84,333.71 is: 116,380.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,721.64 : 199,716.47 = 84,333.71 : x
  2. Step 2: Convert to fraction form
    144,721.64/199,716.47 = 84,333.71/x
  3. Step 3: Cross multiply
    144,721.64x = 199,716.47 × 84,333.71
  4. Step 4: Simplify right side
    144,721.64x = 16,842,829,442.95
  5. Step 5: Solve for x
    x = 16,842,829,442.95/144,721.64
  6. Step 6: Final answer
    x = 116,380.87

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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.