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Finding the Fourth Proportional to 151,924.64, 209,645.23 and 83,940.87

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Solution

The fourth proportional to 151,924.64, 209,645.23 and 83,940.87 is: 115,832.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,924.64 : 209,645.23 = 83,940.87 : x
  2. Step 2: Convert to fraction form
    151,924.64/209,645.23 = 83,940.87/x
  3. Step 3: Cross multiply
    151,924.64x = 209,645.23 × 83,940.87
  4. Step 4: Simplify right side
    151,924.64x = 17,597,802,263.58
  5. Step 5: Solve for x
    x = 17,597,802,263.58/151,924.64
  6. Step 6: Final answer
    x = 115,832.44

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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.