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Finding the Fourth Proportional to 146,211.40, 219,317.10 and 83,007.10

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Solution

The fourth proportional to 146,211.40, 219,317.10 and 83,007.10 is: 124,510.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,211.40 : 219,317.10 = 83,007.10 : x
  2. Step 2: Convert to fraction form
    146,211.40/219,317.10 = 83,007.10/x
  3. Step 3: Cross multiply
    146,211.40x = 219,317.10 × 83,007.10
  4. Step 4: Simplify right side
    146,211.40x = 18,204,876,451.41
  5. Step 5: Solve for x
    x = 18,204,876,451.41/146,211.40
  6. Step 6: Final answer
    x = 124,510.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.