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Finding the Fourth Proportional to 72,713.84, 100,311.41 and 42,500.43

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Solution

The fourth proportional to 72,713.84, 100,311.41 and 42,500.43 is: 58,630.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,713.84 : 100,311.41 = 42,500.43 : x
  2. Step 2: Convert to fraction form
    72,713.84/100,311.41 = 42,500.43/x
  3. Step 3: Cross multiply
    72,713.84x = 100,311.41 × 42,500.43
  4. Step 4: Simplify right side
    72,713.84x = 4,263,278,165.16
  5. Step 5: Solve for x
    x = 4,263,278,165.16/72,713.84
  6. Step 6: Final answer
    x = 58,630.91

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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.