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Finding the Fourth Proportional to 161,739.20, 242,641.20 and 135,624.80

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Solution

The fourth proportional to 161,739.20, 242,641.20 and 135,624.80 is: 203,464.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,739.20 : 242,641.20 = 135,624.80 : x
  2. Step 2: Convert to fraction form
    161,739.20/242,641.20 = 135,624.80/x
  3. Step 3: Cross multiply
    161,739.20x = 242,641.20 × 135,624.80
  4. Step 4: Simplify right side
    161,739.20x = 32,908,164,221.76
  5. Step 5: Solve for x
    x = 32,908,164,221.76/161,739.20
  6. Step 6: Final answer
    x = 203,464.37

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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.