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Finding the Fourth Proportional to 52,361, 72,257.62 and 31,139.84

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Solution

The fourth proportional to 52,361, 72,257.62 and 31,139.84 is: 42,972.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,361 : 72,257.62 = 31,139.84 : x
  2. Step 2: Convert to fraction form
    52,361/72,257.62 = 31,139.84/x
  3. Step 3: Cross multiply
    52,361x = 72,257.62 × 31,139.84
  4. Step 4: Simplify right side
    52,361x = 2,250,090,725.58
  5. Step 5: Solve for x
    x = 2,250,090,725.58/52,361
  6. Step 6: Final answer
    x = 42,972.65

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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.