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Finding the Fourth Proportional to 120,983, 166,948.63 and 67,266.04

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Solution

The fourth proportional to 120,983, 166,948.63 and 67,266.04 is: 92,822.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,983 : 166,948.63 = 67,266.04 : x
  2. Step 2: Convert to fraction form
    120,983/166,948.63 = 67,266.04/x
  3. Step 3: Cross multiply
    120,983x = 166,948.63 × 67,266.04
  4. Step 4: Simplify right side
    120,983x = 11,229,973,223.53
  5. Step 5: Solve for x
    x = 11,229,973,223.53/120,983
  6. Step 6: Final answer
    x = 92,822.74

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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.