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Finding the Fourth Proportional to 71,265.60, 106,879.20 and 21,345.60

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Solution

The fourth proportional to 71,265.60, 106,879.20 and 21,345.60 is: 32,012.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,265.60 : 106,879.20 = 21,345.60 : x
  2. Step 2: Convert to fraction form
    71,265.60/106,879.20 = 21,345.60/x
  3. Step 3: Cross multiply
    71,265.60x = 106,879.20 × 21,345.60
  4. Step 4: Simplify right side
    71,265.60x = 2,281,400,651.52
  5. Step 5: Solve for x
    x = 2,281,400,651.52/71,265.60
  6. Step 6: Final answer
    x = 32,012.65

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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.