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Finding the Fourth Proportional to 150,578.80, 207,801 and 82,602.40

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Solution

The fourth proportional to 150,578.80, 207,801 and 82,602.40 is: 113,992.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,578.80 : 207,801 = 82,602.40 : x
  2. Step 2: Convert to fraction form
    150,578.80/207,801 = 82,602.40/x
  3. Step 3: Cross multiply
    150,578.80x = 207,801 × 82,602.40
  4. Step 4: Simplify right side
    150,578.80x = 17,164,861,322.40
  5. Step 5: Solve for x
    x = 17,164,861,322.40/150,578.80
  6. Step 6: Final answer
    x = 113,992.55

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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.