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Finding the Fourth Proportional to 215,807.78, 297,823.29 and 120,331.46

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Solution

The fourth proportional to 215,807.78, 297,823.29 and 120,331.46 is: 166,062.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,807.78 : 297,823.29 = 120,331.46 : x
  2. Step 2: Convert to fraction form
    215,807.78/297,823.29 = 120,331.46/x
  3. Step 3: Cross multiply
    215,807.78x = 297,823.29 × 120,331.46
  4. Step 4: Simplify right side
    215,807.78x = 35,837,511,307.70
  5. Step 5: Solve for x
    x = 35,837,511,307.70/215,807.78
  6. Step 6: Final answer
    x = 166,062.18

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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.