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Finding the Fourth Proportional to 75,350.78, 103,992.40 and 48,152

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Solution

The fourth proportional to 75,350.78, 103,992.40 and 48,152 is: 66,455.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,350.78 : 103,992.40 = 48,152 : x
  2. Step 2: Convert to fraction form
    75,350.78/103,992.40 = 48,152/x
  3. Step 3: Cross multiply
    75,350.78x = 103,992.40 × 48,152
  4. Step 4: Simplify right side
    75,350.78x = 5,007,442,044.80
  5. Step 5: Solve for x
    x = 5,007,442,044.80/75,350.78
  6. Step 6: Final answer
    x = 66,455.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.