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Finding the Fourth Proportional to 147,810.06, 203,978.07 and 80,742.06

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Solution

The fourth proportional to 147,810.06, 203,978.07 and 80,742.06 is: 111,424.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,810.06 : 203,978.07 = 80,742.06 : x
  2. Step 2: Convert to fraction form
    147,810.06/203,978.07 = 80,742.06/x
  3. Step 3: Cross multiply
    147,810.06x = 203,978.07 × 80,742.06
  4. Step 4: Simplify right side
    147,810.06x = 16,469,609,566.62
  5. Step 5: Solve for x
    x = 16,469,609,566.62/147,810.06
  6. Step 6: Final answer
    x = 111,424.15

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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.