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Finding the Fourth Proportional to 242,830.31, 335,017.92 and 140,799.57

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Solution

The fourth proportional to 242,830.31, 335,017.92 and 140,799.57 is: 194,252.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,830.31 : 335,017.92 = 140,799.57 : x
  2. Step 2: Convert to fraction form
    242,830.31/335,017.92 = 140,799.57/x
  3. Step 3: Cross multiply
    242,830.31x = 335,017.92 × 140,799.57
  4. Step 4: Simplify right side
    242,830.31x = 47,170,378,349.98
  5. Step 5: Solve for x
    x = 47,170,378,349.98/242,830.31
  6. Step 6: Final answer
    x = 194,252.44

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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.