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Finding the Fourth Proportional to 147,194, 203,127.76 and 80,126

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Solution

The fourth proportional to 147,194, 203,127.76 and 80,126 is: 110,573.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,194 : 203,127.76 = 80,126 : x
  2. Step 2: Convert to fraction form
    147,194/203,127.76 = 80,126/x
  3. Step 3: Cross multiply
    147,194x = 203,127.76 × 80,126
  4. Step 4: Simplify right side
    147,194x = 16,275,814,897.76
  5. Step 5: Solve for x
    x = 16,275,814,897.76/147,194
  6. Step 6: Final answer
    x = 110,573.90

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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.