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Finding the Fourth Proportional to 242,405.20, 363,607.80 and 142,613.20

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Solution

The fourth proportional to 242,405.20, 363,607.80 and 142,613.20 is: 213,919.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,405.20 : 363,607.80 = 142,613.20 : x
  2. Step 2: Convert to fraction form
    242,405.20/363,607.80 = 142,613.20/x
  3. Step 3: Cross multiply
    242,405.20x = 363,607.80 × 142,613.20
  4. Step 4: Simplify right side
    242,405.20x = 51,855,271,902.96
  5. Step 5: Solve for x
    x = 51,855,271,902.96/242,405.20
  6. Step 6: Final answer
    x = 213,919.80

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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.