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Finding the Fourth Proportional to 202,458.76, 279,385.55 and 111,812.78

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Solution

The fourth proportional to 202,458.76, 279,385.55 and 111,812.78 is: 154,297.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,458.76 : 279,385.55 = 111,812.78 : x
  2. Step 2: Convert to fraction form
    202,458.76/279,385.55 = 111,812.78/x
  3. Step 3: Cross multiply
    202,458.76x = 279,385.55 × 111,812.78
  4. Step 4: Simplify right side
    202,458.76x = 31,238,875,037.33
  5. Step 5: Solve for x
    x = 31,238,875,037.33/202,458.76
  6. Step 6: Final answer
    x = 154,297.47

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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.