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Finding the Fourth Proportional to 56,775.68, 85,083.22 and 31,486.39

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Solution

The fourth proportional to 56,775.68, 85,083.22 and 31,486.39 is: 47,185.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,775.68 : 85,083.22 = 31,486.39 : x
  2. Step 2: Convert to fraction form
    56,775.68/85,083.22 = 31,486.39/x
  3. Step 3: Cross multiply
    56,775.68x = 85,083.22 × 31,486.39
  4. Step 4: Simplify right side
    56,775.68x = 2,678,962,864.53
  5. Step 5: Solve for x
    x = 2,678,962,864.53/56,775.68
  6. Step 6: Final answer
    x = 47,185.04

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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.