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Finding the Fourth Proportional to 64,962, 89,649.72 and 39,806.64

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Solution

The fourth proportional to 64,962, 89,649.72 and 39,806.64 is: 54,934.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,962 : 89,649.72 = 39,806.64 : x
  2. Step 2: Convert to fraction form
    64,962/89,649.72 = 39,806.64/x
  3. Step 3: Cross multiply
    64,962x = 89,649.72 × 39,806.64
  4. Step 4: Simplify right side
    64,962x = 3,568,654,130.14
  5. Step 5: Solve for x
    x = 3,568,654,130.14/64,962
  6. Step 6: Final answer
    x = 54,934.49

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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.