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Finding the Fourth Proportional to 48,640.32, 72,949.76 and 13,570.56

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Solution

The fourth proportional to 48,640.32, 72,949.76 and 13,570.56 is: 20,352.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,640.32 : 72,949.76 = 13,570.56 : x
  2. Step 2: Convert to fraction form
    48,640.32/72,949.76 = 13,570.56/x
  3. Step 3: Cross multiply
    48,640.32x = 72,949.76 × 13,570.56
  4. Step 4: Simplify right side
    48,640.32x = 989,969,095.07
  5. Step 5: Solve for x
    x = 989,969,095.07/48,640.32
  6. Step 6: Final answer
    x = 20,352.85

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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.