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Finding the Fourth Proportional to 243,319.52, 364,992.24 and 77,120.48

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Solution

The fourth proportional to 243,319.52, 364,992.24 and 77,120.48 is: 115,684.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,319.52 : 364,992.24 = 77,120.48 : x
  2. Step 2: Convert to fraction form
    243,319.52/364,992.24 = 77,120.48/x
  3. Step 3: Cross multiply
    243,319.52x = 364,992.24 × 77,120.48
  4. Step 4: Simplify right side
    243,319.52x = 28,148,376,745.08
  5. Step 5: Solve for x
    x = 28,148,376,745.08/243,319.52
  6. Step 6: Final answer
    x = 115,684.83

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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.