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Finding the Fourth Proportional to 242,892, 335,191.52 and 135,468.97

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Solution

The fourth proportional to 242,892, 335,191.52 and 135,468.97 is: 186,947.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,892 : 335,191.52 = 135,468.97 : x
  2. Step 2: Convert to fraction form
    242,892/335,191.52 = 135,468.97/x
  3. Step 3: Cross multiply
    242,892x = 335,191.52 × 135,468.97
  4. Step 4: Simplify right side
    242,892x = 45,408,049,467.83
  5. Step 5: Solve for x
    x = 45,408,049,467.83/242,892
  6. Step 6: Final answer
    x = 186,947.49

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1.5x scale

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.