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Finding the Fourth Proportional to 120,332.96, 166,106 and 107,735.84

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Solution

The fourth proportional to 120,332.96, 166,106 and 107,735.84 is: 148,717.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,332.96 : 166,106 = 107,735.84 : x
  2. Step 2: Convert to fraction form
    120,332.96/166,106 = 107,735.84/x
  3. Step 3: Cross multiply
    120,332.96x = 166,106 × 107,735.84
  4. Step 4: Simplify right side
    120,332.96x = 17,895,569,439.04
  5. Step 5: Solve for x
    x = 17,895,569,439.04/120,332.96
  6. Step 6: Final answer
    x = 148,717.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.