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Finding the Fourth Proportional to 71,778.56, 99,052.34 and 39,946.77

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Solution

The fourth proportional to 71,778.56, 99,052.34 and 39,946.77 is: 55,125.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,778.56 : 99,052.34 = 39,946.77 : x
  2. Step 2: Convert to fraction form
    71,778.56/99,052.34 = 39,946.77/x
  3. Step 3: Cross multiply
    71,778.56x = 99,052.34 × 39,946.77
  4. Step 4: Simplify right side
    71,778.56x = 3,956,820,844.21
  5. Step 5: Solve for x
    x = 3,956,820,844.21/71,778.56
  6. Step 6: Final answer
    x = 55,125.39

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1.5x scale

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.