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Finding the Fourth Proportional to 150,530.82, 207,724.41 and 83,458.50

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Solution

The fourth proportional to 150,530.82, 207,724.41 and 83,458.50 is: 115,168.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,530.82 : 207,724.41 = 83,458.50 : x
  2. Step 2: Convert to fraction form
    150,530.82/207,724.41 = 83,458.50/x
  3. Step 3: Cross multiply
    150,530.82x = 207,724.41 × 83,458.50
  4. Step 4: Simplify right side
    150,530.82x = 17,336,367,671.99
  5. Step 5: Solve for x
    x = 17,336,367,671.99/150,530.82
  6. Step 6: Final answer
    x = 115,168.23

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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.