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Finding the Fourth Proportional to 71,000, 97,980 and 41,197.76

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Solution

The fourth proportional to 71,000, 97,980 and 41,197.76 is: 56,852.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,000 : 97,980 = 41,197.76 : x
  2. Step 2: Convert to fraction form
    71,000/97,980 = 41,197.76/x
  3. Step 3: Cross multiply
    71,000x = 97,980 × 41,197.76
  4. Step 4: Simplify right side
    71,000x = 4,036,556,524.80
  5. Step 5: Solve for x
    x = 4,036,556,524.80/71,000
  6. Step 6: Final answer
    x = 56,852.91

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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.