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Finding the Fourth Proportional to 39,221, 54,125.06 and 21,557

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Solution

The fourth proportional to 39,221, 54,125.06 and 21,557 is: 29,748.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,221 : 54,125.06 = 21,557 : x
  2. Step 2: Convert to fraction form
    39,221/54,125.06 = 21,557/x
  3. Step 3: Cross multiply
    39,221x = 54,125.06 × 21,557
  4. Step 4: Simplify right side
    39,221x = 1,166,773,918.42
  5. Step 5: Solve for x
    x = 1,166,773,918.42/39,221
  6. Step 6: Final answer
    x = 29,748.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.