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Finding the Fourth Proportional to 85,912.74, 118,559.23 and 47,678.11

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Solution

The fourth proportional to 85,912.74, 118,559.23 and 47,678.11 is: 65,795.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,912.74 : 118,559.23 = 47,678.11 : x
  2. Step 2: Convert to fraction form
    85,912.74/118,559.23 = 47,678.11/x
  3. Step 3: Cross multiply
    85,912.74x = 118,559.23 × 47,678.11
  4. Step 4: Simplify right side
    85,912.74x = 5,652,679,593.86
  5. Step 5: Solve for x
    x = 5,652,679,593.86/85,912.74
  6. Step 6: Final answer
    x = 65,795.59

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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.