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Finding the Fourth Proportional to 143,658.51, 198,153.74 and 89,850.11

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Solution

The fourth proportional to 143,658.51, 198,153.74 and 89,850.11 is: 123,933.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,658.51 : 198,153.74 = 89,850.11 : x
  2. Step 2: Convert to fraction form
    143,658.51/198,153.74 = 89,850.11/x
  3. Step 3: Cross multiply
    143,658.51x = 198,153.74 × 89,850.11
  4. Step 4: Simplify right side
    143,658.51x = 17,804,134,569.77
  5. Step 5: Solve for x
    x = 17,804,134,569.77/143,658.51
  6. Step 6: Final answer
    x = 123,933.73

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Why These Related Problems?

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