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Finding the Fourth Proportional to 31,896, 47,507.07 and 30,230.64

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Solution

The fourth proportional to 31,896, 47,507.07 and 30,230.64 is: 45,026.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,896 : 47,507.07 = 30,230.64 : x
  2. Step 2: Convert to fraction form
    31,896/47,507.07 = 30,230.64/x
  3. Step 3: Cross multiply
    31,896x = 47,507.07 × 30,230.64
  4. Step 4: Simplify right side
    31,896x = 1,436,169,130.62
  5. Step 5: Solve for x
    x = 1,436,169,130.62/31,896
  6. Step 6: Final answer
    x = 45,026.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.