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Finding the Fourth Proportional to 243,190.66, 364,842.15 and 76,978.66

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Solution

The fourth proportional to 243,190.66, 364,842.15 and 76,978.66 is: 115,485.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,190.66 : 364,842.15 = 76,978.66 : x
  2. Step 2: Convert to fraction form
    243,190.66/364,842.15 = 76,978.66/x
  3. Step 3: Cross multiply
    243,190.66x = 364,842.15 × 76,978.66
  4. Step 4: Simplify right side
    243,190.66x = 28,085,059,818.52
  5. Step 5: Solve for x
    x = 28,085,059,818.52/243,190.66
  6. Step 6: Final answer
    x = 115,485.77

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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.