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Finding the Fourth Proportional to 144,262.31, 199,106.70 and 83,867.98

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Solution

The fourth proportional to 144,262.31, 199,106.70 and 83,867.98 is: 115,752.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,262.31 : 199,106.70 = 83,867.98 : x
  2. Step 2: Convert to fraction form
    144,262.31/199,106.70 = 83,867.98/x
  3. Step 3: Cross multiply
    144,262.31x = 199,106.70 × 83,867.98
  4. Step 4: Simplify right side
    144,262.31x = 16,698,677,296.85
  5. Step 5: Solve for x
    x = 16,698,677,296.85/144,262.31
  6. Step 6: Final answer
    x = 115,752.19

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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.