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Finding the Fourth Proportional to 71,725.80, 107,574.30 and 34,285.80

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Solution

The fourth proportional to 71,725.80, 107,574.30 and 34,285.80 is: 51,421.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,725.80 : 107,574.30 = 34,285.80 : x
  2. Step 2: Convert to fraction form
    71,725.80/107,574.30 = 34,285.80/x
  3. Step 3: Cross multiply
    71,725.80x = 107,574.30 × 34,285.80
  4. Step 4: Simplify right side
    71,725.80x = 3,688,270,934.94
  5. Step 5: Solve for x
    x = 3,688,270,934.94/71,725.80
  6. Step 6: Final answer
    x = 51,421.82

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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.