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Finding the Fourth Proportional to 74,107, 111,126.90 and 31,967.20

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Solution

The fourth proportional to 74,107, 111,126.90 and 31,967.20 is: 47,936.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,107 : 111,126.90 = 31,967.20 : x
  2. Step 2: Convert to fraction form
    74,107/111,126.90 = 31,967.20/x
  3. Step 3: Cross multiply
    74,107x = 111,126.90 × 31,967.20
  4. Step 4: Simplify right side
    74,107x = 3,552,415,837.68
  5. Step 5: Solve for x
    x = 3,552,415,837.68/74,107
  6. Step 6: Final answer
    x = 47,936.31

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1.5x scale

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.