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Finding the Fourth Proportional to 105,102.82, 144,795.45 and 73,214.02

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Solution

The fourth proportional to 105,102.82, 144,795.45 and 73,214.02 is: 100,863.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,102.82 : 144,795.45 = 73,214.02 : x
  2. Step 2: Convert to fraction form
    105,102.82/144,795.45 = 73,214.02/x
  3. Step 3: Cross multiply
    105,102.82x = 144,795.45 × 73,214.02
  4. Step 4: Simplify right side
    105,102.82x = 10,601,056,972.21
  5. Step 5: Solve for x
    x = 10,601,056,972.21/105,102.82
  6. Step 6: Final answer
    x = 100,863.68

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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.