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Finding the Fourth Proportional to 135,179.93, 202,892.45 and 72,053.07

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Solution

The fourth proportional to 135,179.93, 202,892.45 and 72,053.07 is: 108,144.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,179.93 : 202,892.45 = 72,053.07 : x
  2. Step 2: Convert to fraction form
    135,179.93/202,892.45 = 72,053.07/x
  3. Step 3: Cross multiply
    135,179.93x = 202,892.45 × 72,053.07
  4. Step 4: Simplify right side
    135,179.93x = 14,619,023,542.06
  5. Step 5: Solve for x
    x = 14,619,023,542.06/135,179.93
  6. Step 6: Final answer
    x = 108,144.93

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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.