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Finding the Fourth Proportional to 71,859.30, 100,471.80 and 71,859.30

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Solution

The fourth proportional to 71,859.30, 100,471.80 and 71,859.30 is: 100,471.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,859.30 : 100,471.80 = 71,859.30 : x
  2. Step 2: Convert to fraction form
    71,859.30/100,471.80 = 71,859.30/x
  3. Step 3: Cross multiply
    71,859.30x = 100,471.80 × 71,859.30
  4. Step 4: Simplify right side
    71,859.30x = 7,219,833,217.74
  5. Step 5: Solve for x
    x = 7,219,833,217.74/71,859.30
  6. Step 6: Final answer
    x = 100,471.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.