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Finding the Fourth Proportional to 157,295.73, 217,069.89 and 85,676.34

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Solution

The fourth proportional to 157,295.73, 217,069.89 and 85,676.34 is: 118,234.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,295.73 : 217,069.89 = 85,676.34 : x
  2. Step 2: Convert to fraction form
    157,295.73/217,069.89 = 85,676.34/x
  3. Step 3: Cross multiply
    157,295.73x = 217,069.89 × 85,676.34
  4. Step 4: Simplify right side
    157,295.73x = 18,597,753,699.40
  5. Step 5: Solve for x
    x = 18,597,753,699.40/157,295.73
  6. Step 6: Final answer
    x = 118,234.32

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1.5x scale

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.