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Finding the Fourth Proportional to 202,605.65, 279,588.27 and 111,959.74

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Solution

The fourth proportional to 202,605.65, 279,588.27 and 111,959.74 is: 154,500.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,605.65 : 279,588.27 = 111,959.74 : x
  2. Step 2: Convert to fraction form
    202,605.65/279,588.27 = 111,959.74/x
  3. Step 3: Cross multiply
    202,605.65x = 279,588.27 × 111,959.74
  4. Step 4: Simplify right side
    202,605.65x = 31,302,630,016.25
  5. Step 5: Solve for x
    x = 31,302,630,016.25/202,605.65
  6. Step 6: Final answer
    x = 154,500.28

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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.