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Finding the Fourth Proportional to 71,538.71, 107,308.80 and 21,619.22

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Solution

The fourth proportional to 71,538.71, 107,308.80 and 21,619.22 is: 32,429.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,538.71 : 107,308.80 = 21,619.22 : x
  2. Step 2: Convert to fraction form
    71,538.71/107,308.80 = 21,619.22/x
  3. Step 3: Cross multiply
    71,538.71x = 107,308.80 × 21,619.22
  4. Step 4: Simplify right side
    71,538.71x = 2,319,932,018.59
  5. Step 5: Solve for x
    x = 2,319,932,018.59/71,538.71
  6. Step 6: Final answer
    x = 32,429.05

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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.