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Finding the Fourth Proportional to 189,062.40, 283,363.20 and 83,769.60

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Solution

The fourth proportional to 189,062.40, 283,363.20 and 83,769.60 is: 125,552.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,062.40 : 283,363.20 = 83,769.60 : x
  2. Step 2: Convert to fraction form
    189,062.40/283,363.20 = 83,769.60/x
  3. Step 3: Cross multiply
    189,062.40x = 283,363.20 × 83,769.60
  4. Step 4: Simplify right side
    189,062.40x = 23,737,221,918.72
  5. Step 5: Solve for x
    x = 23,737,221,918.72/189,062.40
  6. Step 6: Final answer
    x = 125,552.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.