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Finding the Fourth Proportional to 32,230.80, 48,346.20 and 21,142.80

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Solution

The fourth proportional to 32,230.80, 48,346.20 and 21,142.80 is: 31,714.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,230.80 : 48,346.20 = 21,142.80 : x
  2. Step 2: Convert to fraction form
    32,230.80/48,346.20 = 21,142.80/x
  3. Step 3: Cross multiply
    32,230.80x = 48,346.20 × 21,142.80
  4. Step 4: Simplify right side
    32,230.80x = 1,022,174,037.36
  5. Step 5: Solve for x
    x = 1,022,174,037.36/32,230.80
  6. Step 6: Final answer
    x = 31,714.20

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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.