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Finding the Fourth Proportional to 150,246, 207,346.32 and 83,178

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Solution

The fourth proportional to 150,246, 207,346.32 and 83,178 is: 114,789.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,246 : 207,346.32 = 83,178 : x
  2. Step 2: Convert to fraction form
    150,246/207,346.32 = 83,178/x
  3. Step 3: Cross multiply
    150,246x = 207,346.32 × 83,178
  4. Step 4: Simplify right side
    150,246x = 17,246,652,204.96
  5. Step 5: Solve for x
    x = 17,246,652,204.96/150,246
  6. Step 6: Final answer
    x = 114,789.43

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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.