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Finding the Fourth Proportional to 71,001.74, 97,982.72 and 39,170.64

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Solution

The fourth proportional to 71,001.74, 97,982.72 and 39,170.64 is: 54,055.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,001.74 : 97,982.72 = 39,170.64 : x
  2. Step 2: Convert to fraction form
    71,001.74/97,982.72 = 39,170.64/x
  3. Step 3: Cross multiply
    71,001.74x = 97,982.72 × 39,170.64
  4. Step 4: Simplify right side
    71,001.74x = 3,838,045,851.34
  5. Step 5: Solve for x
    x = 3,838,045,851.34/71,001.74
  6. Step 6: Final answer
    x = 54,055.66

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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.