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Finding the Fourth Proportional to 147,831, 203,767.20 and 115,509.12

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Solution

The fourth proportional to 147,831, 203,767.20 and 115,509.12 is: 159,215.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,831 : 203,767.20 = 115,509.12 : x
  2. Step 2: Convert to fraction form
    147,831/203,767.20 = 115,509.12/x
  3. Step 3: Cross multiply
    147,831x = 203,767.20 × 115,509.12
  4. Step 4: Simplify right side
    147,831x = 23,536,969,956.86
  5. Step 5: Solve for x
    x = 23,536,969,956.86/147,831
  6. Step 6: Final answer
    x = 159,215.39

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1.5x scale

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.