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Finding the Fourth Proportional to 73,854, 110,827.08 and 30,078

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Solution

The fourth proportional to 73,854, 110,827.08 and 30,078 is: 45,135.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,854 : 110,827.08 = 30,078 : x
  2. Step 2: Convert to fraction form
    73,854/110,827.08 = 30,078/x
  3. Step 3: Cross multiply
    73,854x = 110,827.08 × 30,078
  4. Step 4: Simplify right side
    73,854x = 3,333,456,912.24
  5. Step 5: Solve for x
    x = 3,333,456,912.24/73,854
  6. Step 6: Final answer
    x = 45,135.77

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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.