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Finding the Fourth Proportional to 144,080, 198,853.44 and 84,464

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Solution

The fourth proportional to 144,080, 198,853.44 and 84,464 is: 116,573.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,080 : 198,853.44 = 84,464 : x
  2. Step 2: Convert to fraction form
    144,080/198,853.44 = 84,464/x
  3. Step 3: Cross multiply
    144,080x = 198,853.44 × 84,464
  4. Step 4: Simplify right side
    144,080x = 16,795,956,956.16
  5. Step 5: Solve for x
    x = 16,795,956,956.16/144,080
  6. Step 6: Final answer
    x = 116,573.83

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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.