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Finding the Fourth Proportional to 64,595.62, 89,142 and 37,375.54

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Solution

The fourth proportional to 64,595.62, 89,142 and 37,375.54 is: 51,578.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,595.62 : 89,142 = 37,375.54 : x
  2. Step 2: Convert to fraction form
    64,595.62/89,142 = 37,375.54/x
  3. Step 3: Cross multiply
    64,595.62x = 89,142 × 37,375.54
  4. Step 4: Simplify right side
    64,595.62x = 3,331,730,386.68
  5. Step 5: Solve for x
    x = 3,331,730,386.68/64,595.62
  6. Step 6: Final answer
    x = 51,578.27

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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.