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Finding the Fourth Proportional to 119,103, 178,420.88 and 69,078

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Solution

The fourth proportional to 119,103, 178,420.88 and 69,078 is: 103,481.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,103 : 178,420.88 = 69,078 : x
  2. Step 2: Convert to fraction form
    119,103/178,420.88 = 69,078/x
  3. Step 3: Cross multiply
    119,103x = 178,420.88 × 69,078
  4. Step 4: Simplify right side
    119,103x = 12,324,957,548.64
  5. Step 5: Solve for x
    x = 12,324,957,548.64/119,103
  6. Step 6: Final answer
    x = 103,481.50

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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.