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Finding the Fourth Proportional to 69,128.40, 103,602.73 and 31,149.78

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Solution

The fourth proportional to 69,128.40, 103,602.73 and 31,149.78 is: 46,684.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,128.40 : 103,602.73 = 31,149.78 : x
  2. Step 2: Convert to fraction form
    69,128.40/103,602.73 = 31,149.78/x
  3. Step 3: Cross multiply
    69,128.40x = 103,602.73 × 31,149.78
  4. Step 4: Simplify right side
    69,128.40x = 3,227,202,169.02
  5. Step 5: Solve for x
    x = 3,227,202,169.02/69,128.40
  6. Step 6: Final answer
    x = 46,684.17

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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.