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Finding the Fourth Proportional to 202,749.30, 279,774.31 and 112,092.86

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Solution

The fourth proportional to 202,749.30, 279,774.31 and 112,092.86 is: 154,677.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,749.30 : 279,774.31 = 112,092.86 : x
  2. Step 2: Convert to fraction form
    202,749.30/279,774.31 = 112,092.86/x
  3. Step 3: Cross multiply
    202,749.30x = 279,774.31 × 112,092.86
  4. Step 4: Simplify right side
    202,749.30x = 31,360,700,883.32
  5. Step 5: Solve for x
    x = 31,360,700,883.32/202,749.30
  6. Step 6: Final answer
    x = 154,677.23

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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.