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Finding the Fourth Proportional to 77,298.72, 115,714.65 and 69,906.66

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Solution

The fourth proportional to 77,298.72, 115,714.65 and 69,906.66 is: 104,648.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,298.72 : 115,714.65 = 69,906.66 : x
  2. Step 2: Convert to fraction form
    77,298.72/115,714.65 = 69,906.66/x
  3. Step 3: Cross multiply
    77,298.72x = 115,714.65 × 69,906.66
  4. Step 4: Simplify right side
    77,298.72x = 8,089,224,694.57
  5. Step 5: Solve for x
    x = 8,089,224,694.57/77,298.72
  6. Step 6: Final answer
    x = 104,648.88

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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.