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Finding the Fourth Proportional to 84,228.48, 126,342.72 and 47,318.40

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Solution

The fourth proportional to 84,228.48, 126,342.72 and 47,318.40 is: 70,977.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,228.48 : 126,342.72 = 47,318.40 : x
  2. Step 2: Convert to fraction form
    84,228.48/126,342.72 = 47,318.40/x
  3. Step 3: Cross multiply
    84,228.48x = 126,342.72 × 47,318.40
  4. Step 4: Simplify right side
    84,228.48x = 5,978,335,362.05
  5. Step 5: Solve for x
    x = 5,978,335,362.05/84,228.48
  6. Step 6: Final answer
    x = 70,977.60

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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.