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Finding the Fourth Proportional to 71,002.32, 106,347.84 and 43,242

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Solution

The fourth proportional to 71,002.32, 106,347.84 and 43,242 is: 64,768.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,002.32 : 106,347.84 = 43,242 : x
  2. Step 2: Convert to fraction form
    71,002.32/106,347.84 = 43,242/x
  3. Step 3: Cross multiply
    71,002.32x = 106,347.84 × 43,242
  4. Step 4: Simplify right side
    71,002.32x = 4,598,693,297.28
  5. Step 5: Solve for x
    x = 4,598,693,297.28/71,002.32
  6. Step 6: Final answer
    x = 64,768.21

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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.