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Finding the Fourth Proportional to 64,805.32, 97,207.97 and 20,435.53

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Solution

The fourth proportional to 64,805.32, 97,207.97 and 20,435.53 is: 30,653.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,805.32 : 97,207.97 = 20,435.53 : x
  2. Step 2: Convert to fraction form
    64,805.32/97,207.97 = 20,435.53/x
  3. Step 3: Cross multiply
    64,805.32x = 97,207.97 × 20,435.53
  4. Step 4: Simplify right side
    64,805.32x = 1,986,496,387.17
  5. Step 5: Solve for x
    x = 1,986,496,387.17/64,805.32
  6. Step 6: Final answer
    x = 30,653.29

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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.