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Finding the Fourth Proportional to 89,083, 133,507.50 and 49,658.68

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Solution

The fourth proportional to 89,083, 133,507.50 and 49,658.68 is: 74,422.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,083 : 133,507.50 = 49,658.68 : x
  2. Step 2: Convert to fraction form
    89,083/133,507.50 = 49,658.68/x
  3. Step 3: Cross multiply
    89,083x = 133,507.50 × 49,658.68
  4. Step 4: Simplify right side
    89,083x = 6,629,806,220.10
  5. Step 5: Solve for x
    x = 6,629,806,220.10/89,083
  6. Step 6: Final answer
    x = 74,422.80

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Why These Related Problems?

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