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Finding the Fourth Proportional to 119,197.31, 164,508.03 and 76,878.86

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Solution

The fourth proportional to 119,197.31, 164,508.03 and 76,878.86 is: 106,102.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,197.31 : 164,508.03 = 76,878.86 : x
  2. Step 2: Convert to fraction form
    119,197.31/164,508.03 = 76,878.86/x
  3. Step 3: Cross multiply
    119,197.31x = 164,508.03 × 76,878.86
  4. Step 4: Simplify right side
    119,197.31x = 12,647,188,984.71
  5. Step 5: Solve for x
    x = 12,647,188,984.71/119,197.31
  6. Step 6: Final answer
    x = 106,102.98

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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.