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Finding the Fourth Proportional to 147,411, 203,427 and 80,343

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Solution

The fourth proportional to 147,411, 203,427 and 80,343 is: 110,873.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,411 : 203,427 = 80,343 : x
  2. Step 2: Convert to fraction form
    147,411/203,427 = 80,343/x
  3. Step 3: Cross multiply
    147,411x = 203,427 × 80,343
  4. Step 4: Simplify right side
    147,411x = 16,343,935,461
  5. Step 5: Solve for x
    x = 16,343,935,461/147,411
  6. Step 6: Final answer
    x = 110,873.24

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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.