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Finding the Fourth Proportional to 84,536.77, 126,829.85 and 37,778.71

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Solution

The fourth proportional to 84,536.77, 126,829.85 and 37,778.71 is: 56,679.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,536.77 : 126,829.85 = 37,778.71 : x
  2. Step 2: Convert to fraction form
    84,536.77/126,829.85 = 37,778.71/x
  3. Step 3: Cross multiply
    84,536.77x = 126,829.85 × 37,778.71
  4. Step 4: Simplify right side
    84,536.77x = 4,791,467,616.53
  5. Step 5: Solve for x
    x = 4,791,467,616.53/84,536.77
  6. Step 6: Final answer
    x = 56,679.10

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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.