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Finding the Fourth Proportional to 84,357.48, 126,494.91 and 28,178.31

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Solution

The fourth proportional to 84,357.48, 126,494.91 and 28,178.31 is: 42,253.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,357.48 : 126,494.91 = 28,178.31 : x
  2. Step 2: Convert to fraction form
    84,357.48/126,494.91 = 28,178.31/x
  3. Step 3: Cross multiply
    84,357.48x = 126,494.91 × 28,178.31
  4. Step 4: Simplify right side
    84,357.48x = 3,564,412,787.40
  5. Step 5: Solve for x
    x = 3,564,412,787.40/84,357.48
  6. Step 6: Final answer
    x = 42,253.67

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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.