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Finding the Fourth Proportional to 71,309.16, 106,963.61 and 29,208.87

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Solution

The fourth proportional to 71,309.16, 106,963.61 and 29,208.87 is: 43,813.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,309.16 : 106,963.61 = 29,208.87 : x
  2. Step 2: Convert to fraction form
    71,309.16/106,963.61 = 29,208.87/x
  3. Step 3: Cross multiply
    71,309.16x = 106,963.61 × 29,208.87
  4. Step 4: Simplify right side
    71,309.16x = 3,124,286,033.18
  5. Step 5: Solve for x
    x = 3,124,286,033.18/71,309.16
  6. Step 6: Final answer
    x = 43,813.25

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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.