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Finding the Fourth Proportional to 150,210, 207,296.28 and 83,142

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Solution

The fourth proportional to 150,210, 207,296.28 and 83,142 is: 114,739.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,210 : 207,296.28 = 83,142 : x
  2. Step 2: Convert to fraction form
    150,210/207,296.28 = 83,142/x
  3. Step 3: Cross multiply
    150,210x = 207,296.28 × 83,142
  4. Step 4: Simplify right side
    150,210x = 17,235,027,311.76
  5. Step 5: Solve for x
    x = 17,235,027,311.76/150,210
  6. Step 6: Final answer
    x = 114,739.55

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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.