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Finding the Fourth Proportional to 48,778.40, 73,123.80 and 19,216.40

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Solution

The fourth proportional to 48,778.40, 73,123.80 and 19,216.40 is: 28,807.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,778.40 : 73,123.80 = 19,216.40 : x
  2. Step 2: Convert to fraction form
    48,778.40/73,123.80 = 19,216.40/x
  3. Step 3: Cross multiply
    48,778.40x = 73,123.80 × 19,216.40
  4. Step 4: Simplify right side
    48,778.40x = 1,405,176,190.32
  5. Step 5: Solve for x
    x = 1,405,176,190.32/48,778.40
  6. Step 6: Final answer
    x = 28,807.34

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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.