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Finding the Fourth Proportional to 71,724.60, 107,601.30 and 21,807.80

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Solution

The fourth proportional to 71,724.60, 107,601.30 and 21,807.80 is: 32,716.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,724.60 : 107,601.30 = 21,807.80 : x
  2. Step 2: Convert to fraction form
    71,724.60/107,601.30 = 21,807.80/x
  3. Step 3: Cross multiply
    71,724.60x = 107,601.30 × 21,807.80
  4. Step 4: Simplify right side
    71,724.60x = 2,346,547,630.14
  5. Step 5: Solve for x
    x = 2,346,547,630.14/71,724.60
  6. Step 6: Final answer
    x = 32,716.08

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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.