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Finding the Fourth Proportional to 56,933.77, 85,400.47 and 15,380.77

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Solution

The fourth proportional to 56,933.77, 85,400.47 and 15,380.77 is: 23,071.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,933.77 : 85,400.47 = 15,380.77 : x
  2. Step 2: Convert to fraction form
    56,933.77/85,400.47 = 15,380.77/x
  3. Step 3: Cross multiply
    56,933.77x = 85,400.47 × 15,380.77
  4. Step 4: Simplify right side
    56,933.77x = 1,313,524,986.96
  5. Step 5: Solve for x
    x = 1,313,524,986.96/56,933.77
  6. Step 6: Final answer
    x = 23,071.11

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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.