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Finding the Fourth Proportional to 85,523.68, 118,020.64 and 47,801.44

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Solution

The fourth proportional to 85,523.68, 118,020.64 and 47,801.44 is: 65,964.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,523.68 : 118,020.64 = 47,801.44 : x
  2. Step 2: Convert to fraction form
    85,523.68/118,020.64 = 47,801.44/x
  3. Step 3: Cross multiply
    85,523.68x = 118,020.64 × 47,801.44
  4. Step 4: Simplify right side
    85,523.68x = 5,641,556,541.72
  5. Step 5: Solve for x
    x = 5,641,556,541.72/85,523.68
  6. Step 6: Final answer
    x = 65,964.85

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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.