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Finding the Fourth Proportional to 151,750.40, 209,406.60 and 83,765.70

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Solution

The fourth proportional to 151,750.40, 209,406.60 and 83,765.70 is: 115,591.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,750.40 : 209,406.60 = 83,765.70 : x
  2. Step 2: Convert to fraction form
    151,750.40/209,406.60 = 83,765.70/x
  3. Step 3: Cross multiply
    151,750.40x = 209,406.60 × 83,765.70
  4. Step 4: Simplify right side
    151,750.40x = 17,541,090,433.62
  5. Step 5: Solve for x
    x = 17,541,090,433.62/151,750.40
  6. Step 6: Final answer
    x = 115,591.73

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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.