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Finding the Fourth Proportional to 144,208.62, 199,006.80 and 83,814.66

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Solution

The fourth proportional to 144,208.62, 199,006.80 and 83,814.66 is: 115,663.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,208.62 : 199,006.80 = 83,814.66 : x
  2. Step 2: Convert to fraction form
    144,208.62/199,006.80 = 83,814.66/x
  3. Step 3: Cross multiply
    144,208.62x = 199,006.80 × 83,814.66
  4. Step 4: Simplify right side
    144,208.62x = 16,679,687,279.69
  5. Step 5: Solve for x
    x = 16,679,687,279.69/144,208.62
  6. Step 6: Final answer
    x = 115,663.59

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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.