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Finding the Fourth Proportional to 119,046.78, 178,476.55 and 81,493.02

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Solution

The fourth proportional to 119,046.78, 178,476.55 and 81,493.02 is: 122,175.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,046.78 : 178,476.55 = 81,493.02 : x
  2. Step 2: Convert to fraction form
    119,046.78/178,476.55 = 81,493.02/x
  3. Step 3: Cross multiply
    119,046.78x = 178,476.55 × 81,493.02
  4. Step 4: Simplify right side
    119,046.78x = 14,544,592,854.95
  5. Step 5: Solve for x
    x = 14,544,592,854.95/119,046.78
  6. Step 6: Final answer
    x = 122,175.44

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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.