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Finding the Fourth Proportional to 104,900.78, 144,764.73 and 57,154.11

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Solution

The fourth proportional to 104,900.78, 144,764.73 and 57,154.11 is: 78,873.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,900.78 : 144,764.73 = 57,154.11 : x
  2. Step 2: Convert to fraction form
    104,900.78/144,764.73 = 57,154.11/x
  3. Step 3: Cross multiply
    104,900.78x = 144,764.73 × 57,154.11
  4. Step 4: Simplify right side
    104,900.78x = 8,273,899,302.54
  5. Step 5: Solve for x
    x = 8,273,899,302.54/104,900.78
  6. Step 6: Final answer
    x = 78,873.57

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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.