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Finding the Fourth Proportional to 71,001.78, 97,982.44 and 39,170.68

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Solution

The fourth proportional to 71,001.78, 97,982.44 and 39,170.68 is: 54,055.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,001.78 : 97,982.44 = 39,170.68 : x
  2. Step 2: Convert to fraction form
    71,001.78/97,982.44 = 39,170.68/x
  3. Step 3: Cross multiply
    71,001.78x = 97,982.44 × 39,170.68
  4. Step 4: Simplify right side
    71,001.78x = 3,838,038,802.86
  5. Step 5: Solve for x
    x = 3,838,038,802.86/71,001.78
  6. Step 6: Final answer
    x = 54,055.53

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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.