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Finding the Fourth Proportional to 120,152.84, 165,807.96 and 66,436.46

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Solution

The fourth proportional to 120,152.84, 165,807.96 and 66,436.46 is: 91,680.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,152.84 : 165,807.96 = 66,436.46 : x
  2. Step 2: Convert to fraction form
    120,152.84/165,807.96 = 66,436.46/x
  3. Step 3: Cross multiply
    120,152.84x = 165,807.96 × 66,436.46
  4. Step 4: Simplify right side
    120,152.84x = 11,015,693,902.22
  5. Step 5: Solve for x
    x = 11,015,693,902.22/120,152.84
  6. Step 6: Final answer
    x = 91,680.68

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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.