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Finding the Fourth Proportional to 242,568.30, 363,852.45 and 135,842.70

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Solution

The fourth proportional to 242,568.30, 363,852.45 and 135,842.70 is: 203,764.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,568.30 : 363,852.45 = 135,842.70 : x
  2. Step 2: Convert to fraction form
    242,568.30/363,852.45 = 135,842.70/x
  3. Step 3: Cross multiply
    242,568.30x = 363,852.45 × 135,842.70
  4. Step 4: Simplify right side
    242,568.30x = 49,426,699,209.62
  5. Step 5: Solve for x
    x = 49,426,699,209.62/242,568.30
  6. Step 6: Final answer
    x = 203,764.05

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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.