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Finding the Fourth Proportional to 105,062.40, 144,806.40 and 82,252.80

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Solution

The fourth proportional to 105,062.40, 144,806.40 and 82,252.80 is: 113,368.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,062.40 : 144,806.40 = 82,252.80 : x
  2. Step 2: Convert to fraction form
    105,062.40/144,806.40 = 82,252.80/x
  3. Step 3: Cross multiply
    105,062.40x = 144,806.40 × 82,252.80
  4. Step 4: Simplify right side
    105,062.40x = 11,910,731,857.92
  5. Step 5: Solve for x
    x = 11,910,731,857.92/105,062.40
  6. Step 6: Final answer
    x = 113,368.17

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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.