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Finding the Fourth Proportional to 147,700.11, 203,825.12 and 80,632.11

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Solution

The fourth proportional to 147,700.11, 203,825.12 and 80,632.11 is: 111,271.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,700.11 : 203,825.12 = 80,632.11 : x
  2. Step 2: Convert to fraction form
    147,700.11/203,825.12 = 80,632.11/x
  3. Step 3: Cross multiply
    147,700.11x = 203,825.12 × 80,632.11
  4. Step 4: Simplify right side
    147,700.11x = 16,434,849,093.44
  5. Step 5: Solve for x
    x = 16,434,849,093.44/147,700.11
  6. Step 6: Final answer
    x = 111,271.75

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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.