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Finding the Fourth Proportional to 48,585, 72,811.44 and 31,015.92

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Solution

The fourth proportional to 48,585, 72,811.44 and 31,015.92 is: 46,481.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,585 : 72,811.44 = 31,015.92 : x
  2. Step 2: Convert to fraction form
    48,585/72,811.44 = 31,015.92/x
  3. Step 3: Cross multiply
    48,585x = 72,811.44 × 31,015.92
  4. Step 4: Simplify right side
    48,585x = 2,258,313,798.12
  5. Step 5: Solve for x
    x = 2,258,313,798.12/48,585
  6. Step 6: Final answer
    x = 46,481.71

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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.