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Finding the Fourth Proportional to 89,643.69, 134,382 and 30,438.87

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Solution

The fourth proportional to 89,643.69, 134,382 and 30,438.87 is: 45,629.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,643.69 : 134,382 = 30,438.87 : x
  2. Step 2: Convert to fraction form
    89,643.69/134,382 = 30,438.87/x
  3. Step 3: Cross multiply
    89,643.69x = 134,382 × 30,438.87
  4. Step 4: Simplify right side
    89,643.69x = 4,090,436,228.34
  5. Step 5: Solve for x
    x = 4,090,436,228.34/89,643.69
  6. Step 6: Final answer
    x = 45,629.94

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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.