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Finding the Fourth Proportional to 70,642.14, 105,963.30 and 18,051.68

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Solution

The fourth proportional to 70,642.14, 105,963.30 and 18,051.68 is: 27,077.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,642.14 : 105,963.30 = 18,051.68 : x
  2. Step 2: Convert to fraction form
    70,642.14/105,963.30 = 18,051.68/x
  3. Step 3: Cross multiply
    70,642.14x = 105,963.30 × 18,051.68
  4. Step 4: Simplify right side
    70,642.14x = 1,912,815,053.53
  5. Step 5: Solve for x
    x = 1,912,815,053.53/70,642.14
  6. Step 6: Final answer
    x = 27,077.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.