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Finding the Fourth Proportional to 69,282.64, 103,857.13 and 31,868.34

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Solution

The fourth proportional to 69,282.64, 103,857.13 and 31,868.34 is: 47,771.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,282.64 : 103,857.13 = 31,868.34 : x
  2. Step 2: Convert to fraction form
    69,282.64/103,857.13 = 31,868.34/x
  3. Step 3: Cross multiply
    69,282.64x = 103,857.13 × 31,868.34
  4. Step 4: Simplify right side
    69,282.64x = 3,309,754,330.26
  5. Step 5: Solve for x
    x = 3,309,754,330.26/69,282.64
  6. Step 6: Final answer
    x = 47,771.77

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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.