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Finding the Fourth Proportional to 56,149, 84,245.40 and 21,091.42

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Solution

The fourth proportional to 56,149, 84,245.40 and 21,091.42 is: 31,645.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,149 : 84,245.40 = 21,091.42 : x
  2. Step 2: Convert to fraction form
    56,149/84,245.40 = 21,091.42/x
  3. Step 3: Cross multiply
    56,149x = 84,245.40 × 21,091.42
  4. Step 4: Simplify right side
    56,149x = 1,776,855,114.47
  5. Step 5: Solve for x
    x = 1,776,855,114.47/56,149
  6. Step 6: Final answer
    x = 31,645.36

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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.