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Finding the Fourth Proportional to 48,309.60, 72,464.40 and 31,720.80

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Solution

The fourth proportional to 48,309.60, 72,464.40 and 31,720.80 is: 47,581.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,309.60 : 72,464.40 = 31,720.80 : x
  2. Step 2: Convert to fraction form
    48,309.60/72,464.40 = 31,720.80/x
  3. Step 3: Cross multiply
    48,309.60x = 72,464.40 × 31,720.80
  4. Step 4: Simplify right side
    48,309.60x = 2,298,628,739.52
  5. Step 5: Solve for x
    x = 2,298,628,739.52/48,309.60
  6. Step 6: Final answer
    x = 47,581.20

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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.