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Finding the Fourth Proportional to 151,021.66, 208,410.69 and 83,043.02

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Solution

The fourth proportional to 151,021.66, 208,410.69 and 83,043.02 is: 114,599.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,021.66 : 208,410.69 = 83,043.02 : x
  2. Step 2: Convert to fraction form
    151,021.66/208,410.69 = 83,043.02/x
  3. Step 3: Cross multiply
    151,021.66x = 208,410.69 × 83,043.02
  4. Step 4: Simplify right side
    151,021.66x = 17,307,053,097.88
  5. Step 5: Solve for x
    x = 17,307,053,097.88/151,021.66
  6. Step 6: Final answer
    x = 114,599.81

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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.