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Finding the Fourth Proportional to 242,868, 335,201.58 and 142,266

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Solution

The fourth proportional to 242,868, 335,201.58 and 142,266 is: 196,352.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,868 : 335,201.58 = 142,266 : x
  2. Step 2: Convert to fraction form
    242,868/335,201.58 = 142,266/x
  3. Step 3: Cross multiply
    242,868x = 335,201.58 × 142,266
  4. Step 4: Simplify right side
    242,868x = 47,687,787,980.28
  5. Step 5: Solve for x
    x = 47,687,787,980.28/242,868
  6. Step 6: Final answer
    x = 196,352.70

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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.