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Finding the Fourth Proportional to 71,555, 107,332.50 and 22,307

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Solution

The fourth proportional to 71,555, 107,332.50 and 22,307 is: 33,460.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,555 : 107,332.50 = 22,307 : x
  2. Step 2: Convert to fraction form
    71,555/107,332.50 = 22,307/x
  3. Step 3: Cross multiply
    71,555x = 107,332.50 × 22,307
  4. Step 4: Simplify right side
    71,555x = 2,394,266,077.50
  5. Step 5: Solve for x
    x = 2,394,266,077.50/71,555
  6. Step 6: Final answer
    x = 33,460.50

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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.