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Finding the Fourth Proportional to 119,843.74, 165,361.26 and 72,100.16

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Solution

The fourth proportional to 119,843.74, 165,361.26 and 72,100.16 is: 99,484.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,843.74 : 165,361.26 = 72,100.16 : x
  2. Step 2: Convert to fraction form
    119,843.74/165,361.26 = 72,100.16/x
  3. Step 3: Cross multiply
    119,843.74x = 165,361.26 × 72,100.16
  4. Step 4: Simplify right side
    119,843.74x = 11,922,573,303.80
  5. Step 5: Solve for x
    x = 11,922,573,303.80/119,843.74
  6. Step 6: Final answer
    x = 99,484.32

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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.