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Finding the Fourth Proportional to 56,076, 84,129.08 and 18,642.12

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Solution

The fourth proportional to 56,076, 84,129.08 and 18,642.12 is: 27,968.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,076 : 84,129.08 = 18,642.12 : x
  2. Step 2: Convert to fraction form
    56,076/84,129.08 = 18,642.12/x
  3. Step 3: Cross multiply
    56,076x = 84,129.08 × 18,642.12
  4. Step 4: Simplify right side
    56,076x = 1,568,344,404.85
  5. Step 5: Solve for x
    x = 1,568,344,404.85/56,076
  6. Step 6: Final answer
    x = 27,968.19

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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.