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Finding the Fourth Proportional to 122,563.68, 169,150.13 and 82,361.16

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Solution

The fourth proportional to 122,563.68, 169,150.13 and 82,361.16 is: 113,666.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,563.68 : 169,150.13 = 82,361.16 : x
  2. Step 2: Convert to fraction form
    122,563.68/169,150.13 = 82,361.16/x
  3. Step 3: Cross multiply
    122,563.68x = 169,150.13 × 82,361.16
  4. Step 4: Simplify right side
    122,563.68x = 13,931,400,509.15
  5. Step 5: Solve for x
    x = 13,931,400,509.15/122,563.68
  6. Step 6: Final answer
    x = 113,666.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.