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Finding the Fourth Proportional to 71,537.96, 107,307.68 and 21,618.47

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Solution

The fourth proportional to 71,537.96, 107,307.68 and 21,618.47 is: 32,427.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,537.96 : 107,307.68 = 21,618.47 : x
  2. Step 2: Convert to fraction form
    71,537.96/107,307.68 = 21,618.47/x
  3. Step 3: Cross multiply
    71,537.96x = 107,307.68 × 21,618.47
  4. Step 4: Simplify right side
    71,537.96x = 2,319,827,216.22
  5. Step 5: Solve for x
    x = 2,319,827,216.22/71,537.96
  6. Step 6: Final answer
    x = 32,427.92

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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.