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Finding the Fourth Proportional to 52,871.30, 72,943.47 and 30,193.94

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Solution

The fourth proportional to 52,871.30, 72,943.47 and 30,193.94 is: 41,656.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,871.30 : 72,943.47 = 30,193.94 : x
  2. Step 2: Convert to fraction form
    52,871.30/72,943.47 = 30,193.94/x
  3. Step 3: Cross multiply
    52,871.30x = 72,943.47 × 30,193.94
  4. Step 4: Simplify right side
    52,871.30x = 2,202,450,756.57
  5. Step 5: Solve for x
    x = 2,202,450,756.57/52,871.30
  6. Step 6: Final answer
    x = 41,656.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.