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Finding the Fourth Proportional to 242,874, 335,209.88 and 142,272

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Solution

The fourth proportional to 242,874, 335,209.88 and 142,272 is: 196,360.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,874 : 335,209.88 = 142,272 : x
  2. Step 2: Convert to fraction form
    242,874/335,209.88 = 142,272/x
  3. Step 3: Cross multiply
    242,874x = 335,209.88 × 142,272
  4. Step 4: Simplify right side
    242,874x = 47,690,980,047.36
  5. Step 5: Solve for x
    x = 47,690,980,047.36/242,874
  6. Step 6: Final answer
    x = 196,360.99

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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.