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Finding the Fourth Proportional to 39,164, 54,045.96 and 21,259.58

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Solution

The fourth proportional to 39,164, 54,045.96 and 21,259.58 is: 29,338.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,164 : 54,045.96 = 21,259.58 : x
  2. Step 2: Convert to fraction form
    39,164/54,045.96 = 21,259.58/x
  3. Step 3: Cross multiply
    39,164x = 54,045.96 × 21,259.58
  4. Step 4: Simplify right side
    39,164x = 1,148,994,410.30
  5. Step 5: Solve for x
    x = 1,148,994,410.30/39,164
  6. Step 6: Final answer
    x = 29,338.02

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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.