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Finding the Fourth Proportional to 85,163.83, 127,745.10 and 21,978.58

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Solution

The fourth proportional to 85,163.83, 127,745.10 and 21,978.58 is: 32,967.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,163.83 : 127,745.10 = 21,978.58 : x
  2. Step 2: Convert to fraction form
    85,163.83/127,745.10 = 21,978.58/x
  3. Step 3: Cross multiply
    85,163.83x = 127,745.10 × 21,978.58
  4. Step 4: Simplify right side
    85,163.83x = 2,807,655,899.96
  5. Step 5: Solve for x
    x = 2,807,655,899.96/85,163.83
  6. Step 6: Final answer
    x = 32,967.70

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1.5x scale

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.