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Finding the Fourth Proportional to 71,807.55, 107,727.32 and 21,891.53

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Solution

The fourth proportional to 71,807.55, 107,727.32 and 21,891.53 is: 32,842.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,807.55 : 107,727.32 = 21,891.53 : x
  2. Step 2: Convert to fraction form
    71,807.55/107,727.32 = 21,891.53/x
  3. Step 3: Cross multiply
    71,807.55x = 107,727.32 × 21,891.53
  4. Step 4: Simplify right side
    71,807.55x = 2,358,315,748.14
  5. Step 5: Solve for x
    x = 2,358,315,748.14/71,807.55
  6. Step 6: Final answer
    x = 32,842.17

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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.