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Finding the Fourth Proportional to 48,628, 72,970.68 and 20,546.24

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Solution

The fourth proportional to 48,628, 72,970.68 and 20,546.24 is: 30,831.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,628 : 72,970.68 = 20,546.24 : x
  2. Step 2: Convert to fraction form
    48,628/72,970.68 = 20,546.24/x
  3. Step 3: Cross multiply
    48,628x = 72,970.68 × 20,546.24
  4. Step 4: Simplify right side
    48,628x = 1,499,273,104.24
  5. Step 5: Solve for x
    x = 1,499,273,104.24/48,628
  6. Step 6: Final answer
    x = 30,831.48

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1.5x scale

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.