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Finding the Fourth Proportional to 56,929.50, 85,433.13 and 19,993.50

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Solution

The fourth proportional to 56,929.50, 85,433.13 and 19,993.50 is: 30,003.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,929.50 : 85,433.13 = 19,993.50 : x
  2. Step 2: Convert to fraction form
    56,929.50/85,433.13 = 19,993.50/x
  3. Step 3: Cross multiply
    56,929.50x = 85,433.13 × 19,993.50
  4. Step 4: Simplify right side
    56,929.50x = 1,708,107,284.66
  5. Step 5: Solve for x
    x = 1,708,107,284.66/56,929.50
  6. Step 6: Final answer
    x = 30,003.90

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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.