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Finding the Fourth Proportional to 120,167, 165,827.10 and 66,450.20

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Solution

The fourth proportional to 120,167, 165,827.10 and 66,450.20 is: 91,699.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,167 : 165,827.10 = 66,450.20 : x
  2. Step 2: Convert to fraction form
    120,167/165,827.10 = 66,450.20/x
  3. Step 3: Cross multiply
    120,167x = 165,827.10 × 66,450.20
  4. Step 4: Simplify right side
    120,167x = 11,019,243,960.42
  5. Step 5: Solve for x
    x = 11,019,243,960.42/120,167
  6. Step 6: Final answer
    x = 91,699.42

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1.5x scale

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.