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Finding the Fourth Proportional to 225,709.16, 311,577.85 and 157,992.08

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Solution

The fourth proportional to 225,709.16, 311,577.85 and 157,992.08 is: 218,098.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,709.16 : 311,577.85 = 157,992.08 : x
  2. Step 2: Convert to fraction form
    225,709.16/311,577.85 = 157,992.08/x
  3. Step 3: Cross multiply
    225,709.16x = 311,577.85 × 157,992.08
  4. Step 4: Simplify right side
    225,709.16x = 49,226,830,650.56
  5. Step 5: Solve for x
    x = 49,226,830,650.56/225,709.16
  6. Step 6: Final answer
    x = 218,098.51

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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.