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Finding the Fourth Proportional to 52,847, 72,928.86 and 30,491

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Solution

The fourth proportional to 52,847, 72,928.86 and 30,491 is: 42,077.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,847 : 72,928.86 = 30,491 : x
  2. Step 2: Convert to fraction form
    52,847/72,928.86 = 30,491/x
  3. Step 3: Cross multiply
    52,847x = 72,928.86 × 30,491
  4. Step 4: Simplify right side
    52,847x = 2,223,673,870.26
  5. Step 5: Solve for x
    x = 2,223,673,870.26/52,847
  6. Step 6: Final answer
    x = 42,077.58

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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.