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Finding the Fourth Proportional to 147,429, 203,453.64 and 80,361

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Solution

The fourth proportional to 147,429, 203,453.64 and 80,361 is: 110,899.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,429 : 203,453.64 = 80,361 : x
  2. Step 2: Convert to fraction form
    147,429/203,453.64 = 80,361/x
  3. Step 3: Cross multiply
    147,429x = 203,453.64 × 80,361
  4. Step 4: Simplify right side
    147,429x = 16,349,737,964.04
  5. Step 5: Solve for x
    x = 16,349,737,964.04/147,429
  6. Step 6: Final answer
    x = 110,899.06

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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.