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Finding the Fourth Proportional to 134,978.22, 202,535.91 and 81,797.13

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Solution

The fourth proportional to 134,978.22, 202,535.91 and 81,797.13 is: 122,737.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,978.22 : 202,535.91 = 81,797.13 : x
  2. Step 2: Convert to fraction form
    134,978.22/202,535.91 = 81,797.13/x
  3. Step 3: Cross multiply
    134,978.22x = 202,535.91 × 81,797.13
  4. Step 4: Simplify right side
    134,978.22x = 16,566,856,159.94
  5. Step 5: Solve for x
    x = 16,566,856,159.94/134,978.22
  6. Step 6: Final answer
    x = 122,737.25

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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.