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Finding the Fourth Proportional to 239,978, 359,900.76 and 90,206.48

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Solution

The fourth proportional to 239,978, 359,900.76 and 90,206.48 is: 135,284.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,978 : 359,900.76 = 90,206.48 : x
  2. Step 2: Convert to fraction form
    239,978/359,900.76 = 90,206.48/x
  3. Step 3: Cross multiply
    239,978x = 359,900.76 × 90,206.48
  4. Step 4: Simplify right side
    239,978x = 32,465,380,708.92
  5. Step 5: Solve for x
    x = 32,465,380,708.92/239,978
  6. Step 6: Final answer
    x = 135,284.82

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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.