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Finding the Fourth Proportional to 242,742.80, 363,984.60 and 102,342.80

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Solution

The fourth proportional to 242,742.80, 363,984.60 and 102,342.80 is: 153,459.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,742.80 : 363,984.60 = 102,342.80 : x
  2. Step 2: Convert to fraction form
    242,742.80/363,984.60 = 102,342.80/x
  3. Step 3: Cross multiply
    242,742.80x = 363,984.60 × 102,342.80
  4. Step 4: Simplify right side
    242,742.80x = 37,251,203,120.88
  5. Step 5: Solve for x
    x = 37,251,203,120.88/242,742.80
  6. Step 6: Final answer
    x = 153,459.56

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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.