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Finding the Fourth Proportional to 144,804.31, 199,821.74 and 84,384.79

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Solution

The fourth proportional to 144,804.31, 199,821.74 and 84,384.79 is: 116,446.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,804.31 : 199,821.74 = 84,384.79 : x
  2. Step 2: Convert to fraction form
    144,804.31/199,821.74 = 84,384.79/x
  3. Step 3: Cross multiply
    144,804.31x = 199,821.74 × 84,384.79
  4. Step 4: Simplify right side
    144,804.31x = 16,861,914,645.86
  5. Step 5: Solve for x
    x = 16,861,914,645.86/144,804.31
  6. Step 6: Final answer
    x = 116,446.22

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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.