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Finding the Fourth Proportional to 56,725.50, 85,127.13 and 19,789.50

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Solution

The fourth proportional to 56,725.50, 85,127.13 and 19,789.50 is: 29,697.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,725.50 : 85,127.13 = 19,789.50 : x
  2. Step 2: Convert to fraction form
    56,725.50/85,127.13 = 19,789.50/x
  3. Step 3: Cross multiply
    56,725.50x = 85,127.13 × 19,789.50
  4. Step 4: Simplify right side
    56,725.50x = 1,684,623,339.14
  5. Step 5: Solve for x
    x = 1,684,623,339.14/56,725.50
  6. Step 6: Final answer
    x = 29,697.81

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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.