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Finding the Fourth Proportional to 85,700.66, 118,252.85 and 53,847

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Solution

The fourth proportional to 85,700.66, 118,252.85 and 53,847 is: 74,300.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,700.66 : 118,252.85 = 53,847 : x
  2. Step 2: Convert to fraction form
    85,700.66/118,252.85 = 53,847/x
  3. Step 3: Cross multiply
    85,700.66x = 118,252.85 × 53,847
  4. Step 4: Simplify right side
    85,700.66x = 6,367,560,944.72
  5. Step 5: Solve for x
    x = 6,367,560,944.72/85,700.66
  6. Step 6: Final answer
    x = 74,300.03

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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.