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Finding the Fourth Proportional to 199,398.12, 298,713.30 and 157,054.20

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Solution

The fourth proportional to 199,398.12, 298,713.30 and 157,054.20 is: 235,278.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,398.12 : 298,713.30 = 157,054.20 : x
  2. Step 2: Convert to fraction form
    199,398.12/298,713.30 = 157,054.20/x
  3. Step 3: Cross multiply
    199,398.12x = 298,713.30 × 157,054.20
  4. Step 4: Simplify right side
    199,398.12x = 46,914,178,360.86
  5. Step 5: Solve for x
    x = 46,914,178,360.86/199,398.12
  6. Step 6: Final answer
    x = 235,278.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.