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Finding the Fourth Proportional to 242,909.56, 364,416.18 and 85,147.48

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Solution

The fourth proportional to 242,909.56, 364,416.18 and 85,147.48 is: 127,739.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,909.56 : 364,416.18 = 85,147.48 : x
  2. Step 2: Convert to fraction form
    242,909.56/364,416.18 = 85,147.48/x
  3. Step 3: Cross multiply
    242,909.56x = 364,416.18 × 85,147.48
  4. Step 4: Simplify right side
    242,909.56x = 31,029,119,398.23
  5. Step 5: Solve for x
    x = 31,029,119,398.23/242,909.56
  6. Step 6: Final answer
    x = 127,739.39

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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.