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Finding the Fourth Proportional to 71,010.42, 97,971.50 and 47,141.70

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Solution

The fourth proportional to 71,010.42, 97,971.50 and 47,141.70 is: 65,040.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,010.42 : 97,971.50 = 47,141.70 : x
  2. Step 2: Convert to fraction form
    71,010.42/97,971.50 = 47,141.70/x
  3. Step 3: Cross multiply
    71,010.42x = 97,971.50 × 47,141.70
  4. Step 4: Simplify right side
    71,010.42x = 4,618,543,061.55
  5. Step 5: Solve for x
    x = 4,618,543,061.55/71,010.42
  6. Step 6: Final answer
    x = 65,040.36

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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.