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Finding the Fourth Proportional to 85,207.89, 117,589.29 and 47,484.57

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Solution

The fourth proportional to 85,207.89, 117,589.29 and 47,484.57 is: 65,530.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,207.89 : 117,589.29 = 47,484.57 : x
  2. Step 2: Convert to fraction form
    85,207.89/117,589.29 = 47,484.57/x
  3. Step 3: Cross multiply
    85,207.89x = 117,589.29 × 47,484.57
  4. Step 4: Simplify right side
    85,207.89x = 5,583,676,872.26
  5. Step 5: Solve for x
    x = 5,583,676,872.26/85,207.89
  6. Step 6: Final answer
    x = 65,530.05

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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.