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Finding the Fourth Proportional to 120,693.79, 166,540.42 and 72,284.37

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Solution

The fourth proportional to 120,693.79, 166,540.42 and 72,284.37 is: 99,742.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,693.79 : 166,540.42 = 72,284.37 : x
  2. Step 2: Convert to fraction form
    120,693.79/166,540.42 = 72,284.37/x
  3. Step 3: Cross multiply
    120,693.79x = 166,540.42 × 72,284.37
  4. Step 4: Simplify right side
    120,693.79x = 12,038,269,339.24
  5. Step 5: Solve for x
    x = 12,038,269,339.24/120,693.79
  6. Step 6: Final answer
    x = 99,742.25

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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.