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Finding the Fourth Proportional to 150,188, 207,260.05 and 83,120

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Solution

The fourth proportional to 150,188, 207,260.05 and 83,120 is: 114,705.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,188 : 207,260.05 = 83,120 : x
  2. Step 2: Convert to fraction form
    150,188/207,260.05 = 83,120/x
  3. Step 3: Cross multiply
    150,188x = 207,260.05 × 83,120
  4. Step 4: Simplify right side
    150,188x = 17,227,455,356
  5. Step 5: Solve for x
    x = 17,227,455,356/150,188
  6. Step 6: Final answer
    x = 114,705.94

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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.