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Finding the Fourth Proportional to 120,970.15, 166,929.34 and 67,251.90

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Solution

The fourth proportional to 120,970.15, 166,929.34 and 67,251.90 is: 92,802.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,970.15 : 166,929.34 = 67,251.90 : x
  2. Step 2: Convert to fraction form
    120,970.15/166,929.34 = 67,251.90/x
  3. Step 3: Cross multiply
    120,970.15x = 166,929.34 × 67,251.90
  4. Step 4: Simplify right side
    120,970.15x = 11,226,315,280.75
  5. Step 5: Solve for x
    x = 11,226,315,280.75/120,970.15
  6. Step 6: Final answer
    x = 92,802.36

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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.