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Finding the Fourth Proportional to 100,342.40, 150,538.70 and 70,817.90

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Solution

The fourth proportional to 100,342.40, 150,538.70 and 70,817.90 is: 106,244.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,342.40 : 150,538.70 = 70,817.90 : x
  2. Step 2: Convert to fraction form
    100,342.40/150,538.70 = 70,817.90/x
  3. Step 3: Cross multiply
    100,342.40x = 150,538.70 × 70,817.90
  4. Step 4: Simplify right side
    100,342.40x = 10,660,834,326.03
  5. Step 5: Solve for x
    x = 10,660,834,326.03/100,342.40
  6. Step 6: Final answer
    x = 106,244.56

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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.