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Finding the Fourth Proportional to 120,364.16, 166,100.50 and 66,648.02

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Solution

The fourth proportional to 120,364.16, 166,100.50 and 66,648.02 is: 91,973.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,364.16 : 166,100.50 = 66,648.02 : x
  2. Step 2: Convert to fraction form
    120,364.16/166,100.50 = 66,648.02/x
  3. Step 3: Cross multiply
    120,364.16x = 166,100.50 × 66,648.02
  4. Step 4: Simplify right side
    120,364.16x = 11,070,268,282.27
  5. Step 5: Solve for x
    x = 11,070,268,282.27/120,364.16
  6. Step 6: Final answer
    x = 91,973.13

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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.