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Finding the Fourth Proportional to 76,764.71, 115,006.74 and 55,652.47

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Solution

The fourth proportional to 76,764.71, 115,006.74 and 55,652.47 is: 83,376.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,764.71 : 115,006.74 = 55,652.47 : x
  2. Step 2: Convert to fraction form
    76,764.71/115,006.74 = 55,652.47/x
  3. Step 3: Cross multiply
    76,764.71x = 115,006.74 × 55,652.47
  4. Step 4: Simplify right side
    76,764.71x = 6,400,408,651.43
  5. Step 5: Solve for x
    x = 6,400,408,651.43/76,764.71
  6. Step 6: Final answer
    x = 83,376.96

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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.