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Finding the Fourth Proportional to 151,021.74, 208,414.53 and 83,035.20

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Solution

The fourth proportional to 151,021.74, 208,414.53 and 83,035.20 is: 114,591.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,021.74 : 208,414.53 = 83,035.20 : x
  2. Step 2: Convert to fraction form
    151,021.74/208,414.53 = 83,035.20/x
  3. Step 3: Cross multiply
    151,021.74x = 208,414.53 × 83,035.20
  4. Step 4: Simplify right side
    151,021.74x = 17,305,742,181.46
  5. Step 5: Solve for x
    x = 17,305,742,181.46/151,021.74
  6. Step 6: Final answer
    x = 114,591.07

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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.