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Finding the Fourth Proportional to 143,544.84, 198,083.46 and 83,111.18

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Solution

The fourth proportional to 143,544.84, 198,083.46 and 83,111.18 is: 114,688.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,544.84 : 198,083.46 = 83,111.18 : x
  2. Step 2: Convert to fraction form
    143,544.84/198,083.46 = 83,111.18/x
  3. Step 3: Cross multiply
    143,544.84x = 198,083.46 × 83,111.18
  4. Step 4: Simplify right side
    143,544.84x = 16,462,950,099.08
  5. Step 5: Solve for x
    x = 16,462,950,099.08/143,544.84
  6. Step 6: Final answer
    x = 114,688.55

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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.