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Finding the Fourth Proportional to 242,609.86, 334,797.15 and 135,177.58

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Solution

The fourth proportional to 242,609.86, 334,797.15 and 135,177.58 is: 186,542.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,609.86 : 334,797.15 = 135,177.58 : x
  2. Step 2: Convert to fraction form
    242,609.86/334,797.15 = 135,177.58/x
  3. Step 3: Cross multiply
    242,609.86x = 334,797.15 × 135,177.58
  4. Step 4: Simplify right side
    242,609.86x = 45,257,068,527.90
  5. Step 5: Solve for x
    x = 45,257,068,527.90/242,609.86
  6. Step 6: Final answer
    x = 186,542.58

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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.