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Finding the Fourth Proportional to 202,590, 279,574.20 and 113,166

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Solution

The fourth proportional to 202,590, 279,574.20 and 113,166 is: 156,169.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,590 : 279,574.20 = 113,166 : x
  2. Step 2: Convert to fraction form
    202,590/279,574.20 = 113,166/x
  3. Step 3: Cross multiply
    202,590x = 279,574.20 × 113,166
  4. Step 4: Simplify right side
    202,590x = 31,638,293,917.20
  5. Step 5: Solve for x
    x = 31,638,293,917.20/202,590
  6. Step 6: Final answer
    x = 156,169.08

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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.