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Finding the Fourth Proportional to 198,740.52, 297,820.86 and 92,157

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Solution

The fourth proportional to 198,740.52, 297,820.86 and 92,157 is: 138,101.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,740.52 : 297,820.86 = 92,157 : x
  2. Step 2: Convert to fraction form
    198,740.52/297,820.86 = 92,157/x
  3. Step 3: Cross multiply
    198,740.52x = 297,820.86 × 92,157
  4. Step 4: Simplify right side
    198,740.52x = 27,446,276,995.02
  5. Step 5: Solve for x
    x = 27,446,276,995.02/198,740.52
  6. Step 6: Final answer
    x = 138,101.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.