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Finding the Fourth Proportional to 150,506, 207,704.76 and 83,438

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Solution

The fourth proportional to 150,506, 207,704.76 and 83,438 is: 115,148.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,506 : 207,704.76 = 83,438 : x
  2. Step 2: Convert to fraction form
    150,506/207,704.76 = 83,438/x
  3. Step 3: Cross multiply
    150,506x = 207,704.76 × 83,438
  4. Step 4: Simplify right side
    150,506x = 17,330,469,764.88
  5. Step 5: Solve for x
    x = 17,330,469,764.88/150,506
  6. Step 6: Final answer
    x = 115,148.03

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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.