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Finding the Fourth Proportional to 71,004.10, 97,984.02 and 39,172.99

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Solution

The fourth proportional to 71,004.10, 97,984.02 and 39,172.99 is: 54,057.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,004.10 : 97,984.02 = 39,172.99 : x
  2. Step 2: Convert to fraction form
    71,004.10/97,984.02 = 39,172.99/x
  3. Step 3: Cross multiply
    71,004.10x = 97,984.02 × 39,172.99
  4. Step 4: Simplify right side
    71,004.10x = 3,838,327,011.20
  5. Step 5: Solve for x
    x = 3,838,327,011.20/71,004.10
  6. Step 6: Final answer
    x = 54,057.82

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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.