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Finding the Fourth Proportional to 71,175.78, 106,762.32 and 21,256.02

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Solution

The fourth proportional to 71,175.78, 106,762.32 and 21,256.02 is: 31,883.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,175.78 : 106,762.32 = 21,256.02 : x
  2. Step 2: Convert to fraction form
    71,175.78/106,762.32 = 21,256.02/x
  3. Step 3: Cross multiply
    71,175.78x = 106,762.32 × 21,256.02
  4. Step 4: Simplify right side
    71,175.78x = 2,269,342,009.17
  5. Step 5: Solve for x
    x = 2,269,342,009.17/71,175.78
  6. Step 6: Final answer
    x = 31,883.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.