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Finding the Fourth Proportional to 102,351.77, 141,243.56 and 57,028.78

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Solution

The fourth proportional to 102,351.77, 141,243.56 and 57,028.78 is: 78,698.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,351.77 : 141,243.56 = 57,028.78 : x
  2. Step 2: Convert to fraction form
    102,351.77/141,243.56 = 57,028.78/x
  3. Step 3: Cross multiply
    102,351.77x = 141,243.56 × 57,028.78
  4. Step 4: Simplify right side
    102,351.77x = 8,054,947,909.66
  5. Step 5: Solve for x
    x = 8,054,947,909.66/102,351.77
  6. Step 6: Final answer
    x = 78,698.67

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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.