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Finding the Fourth Proportional to 147,392, 203,402.40 and 80,325.44

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Solution

The fourth proportional to 147,392, 203,402.40 and 80,325.44 is: 110,849.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,392 : 203,402.40 = 80,325.44 : x
  2. Step 2: Convert to fraction form
    147,392/203,402.40 = 80,325.44/x
  3. Step 3: Cross multiply
    147,392x = 203,402.40 × 80,325.44
  4. Step 4: Simplify right side
    147,392x = 16,338,387,277.06
  5. Step 5: Solve for x
    x = 16,338,387,277.06/147,392
  6. Step 6: Final answer
    x = 110,849.89

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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.