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Finding the Fourth Proportional to 76,615.80, 105,714 and 44,778.48

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Solution

The fourth proportional to 76,615.80, 105,714 and 44,778.48 is: 61,785.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,615.80 : 105,714 = 44,778.48 : x
  2. Step 2: Convert to fraction form
    76,615.80/105,714 = 44,778.48/x
  3. Step 3: Cross multiply
    76,615.80x = 105,714 × 44,778.48
  4. Step 4: Simplify right side
    76,615.80x = 4,733,712,234.72
  5. Step 5: Solve for x
    x = 4,733,712,234.72/76,615.80
  6. Step 6: Final answer
    x = 61,785.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.