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Finding the Fourth Proportional to 202,360, 279,236.84 and 111,710.08

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Solution

The fourth proportional to 202,360, 279,236.84 and 111,710.08 is: 154,148.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,360 : 279,236.84 = 111,710.08 : x
  2. Step 2: Convert to fraction form
    202,360/279,236.84 = 111,710.08/x
  3. Step 3: Cross multiply
    202,360x = 279,236.84 × 111,710.08
  4. Step 4: Simplify right side
    202,360x = 31,193,569,735.35
  5. Step 5: Solve for x
    x = 31,193,569,735.35/202,360
  6. Step 6: Final answer
    x = 154,148.89

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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.