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Finding the Fourth Proportional to 85,881.90, 118,523.32 and 47,647.46

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Solution

The fourth proportional to 85,881.90, 118,523.32 and 47,647.46 is: 65,756.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,881.90 : 118,523.32 = 47,647.46 : x
  2. Step 2: Convert to fraction form
    85,881.90/118,523.32 = 47,647.46/x
  3. Step 3: Cross multiply
    85,881.90x = 118,523.32 × 47,647.46
  4. Step 4: Simplify right side
    85,881.90x = 5,647,335,148.77
  5. Step 5: Solve for x
    x = 5,647,335,148.77/85,881.90
  6. Step 6: Final answer
    x = 65,756.99

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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.