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Finding the Fourth Proportional to 120,886.30, 166,823.04 and 66,438.10

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Solution

The fourth proportional to 120,886.30, 166,823.04 and 66,438.10 is: 91,684.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,886.30 : 166,823.04 = 66,438.10 : x
  2. Step 2: Convert to fraction form
    120,886.30/166,823.04 = 66,438.10/x
  3. Step 3: Cross multiply
    120,886.30x = 166,823.04 × 66,438.10
  4. Step 4: Simplify right side
    120,886.30x = 11,083,405,813.82
  5. Step 5: Solve for x
    x = 11,083,405,813.82/120,886.30
  6. Step 6: Final answer
    x = 91,684.55

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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.