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Finding the Fourth Proportional to 128,980.31, 193,197.90 and 81,571.01

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Solution

The fourth proportional to 128,980.31, 193,197.90 and 81,571.01 is: 122,184.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,980.31 : 193,197.90 = 81,571.01 : x
  2. Step 2: Convert to fraction form
    128,980.31/193,197.90 = 81,571.01/x
  3. Step 3: Cross multiply
    128,980.31x = 193,197.90 × 81,571.01
  4. Step 4: Simplify right side
    128,980.31x = 15,759,347,832.88
  5. Step 5: Solve for x
    x = 15,759,347,832.88/128,980.31
  6. Step 6: Final answer
    x = 122,184.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.