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Finding the Fourth Proportional to 151,128.99, 208,557.99 and 83,144.50

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Solution

The fourth proportional to 151,128.99, 208,557.99 and 83,144.50 is: 114,739.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,128.99 : 208,557.99 = 83,144.50 : x
  2. Step 2: Convert to fraction form
    151,128.99/208,557.99 = 83,144.50/x
  3. Step 3: Cross multiply
    151,128.99x = 208,557.99 × 83,144.50
  4. Step 4: Simplify right side
    151,128.99x = 17,340,449,799.56
  5. Step 5: Solve for x
    x = 17,340,449,799.56/151,128.99
  6. Step 6: Final answer
    x = 114,739.40

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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.