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Finding the Fourth Proportional to 120,541.15, 166,364.04 and 66,838.15

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Solution

The fourth proportional to 120,541.15, 166,364.04 and 66,838.15 is: 92,246.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,541.15 : 166,364.04 = 66,838.15 : x
  2. Step 2: Convert to fraction form
    120,541.15/166,364.04 = 66,838.15/x
  3. Step 3: Cross multiply
    120,541.15x = 166,364.04 × 66,838.15
  4. Step 4: Simplify right side
    120,541.15x = 11,119,464,660.13
  5. Step 5: Solve for x
    x = 11,119,464,660.13/120,541.15
  6. Step 6: Final answer
    x = 92,246.21

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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.