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Finding the Fourth Proportional to 160,428.32, 221,230.50 and 106,715.60

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Solution

The fourth proportional to 160,428.32, 221,230.50 and 106,715.60 is: 147,160.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,428.32 : 221,230.50 = 106,715.60 : x
  2. Step 2: Convert to fraction form
    160,428.32/221,230.50 = 106,715.60/x
  3. Step 3: Cross multiply
    160,428.32x = 221,230.50 × 106,715.60
  4. Step 4: Simplify right side
    160,428.32x = 23,608,745,545.80
  5. Step 5: Solve for x
    x = 23,608,745,545.80/160,428.32
  6. Step 6: Final answer
    x = 147,160.71

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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.