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Finding the Fourth Proportional to 85,500.75, 117,990.72 and 47,775

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Solution

The fourth proportional to 85,500.75, 117,990.72 and 47,775 is: 65,929.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,500.75 : 117,990.72 = 47,775 : x
  2. Step 2: Convert to fraction form
    85,500.75/117,990.72 = 47,775/x
  3. Step 3: Cross multiply
    85,500.75x = 117,990.72 × 47,775
  4. Step 4: Simplify right side
    85,500.75x = 5,637,006,648
  5. Step 5: Solve for x
    x = 5,637,006,648/85,500.75
  6. Step 6: Final answer
    x = 65,929.32

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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.