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Finding the Fourth Proportional to 139,003.88, 191,828.30 and 78,570.90

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Solution

The fourth proportional to 139,003.88, 191,828.30 and 78,570.90 is: 108,429.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,003.88 : 191,828.30 = 78,570.90 : x
  2. Step 2: Convert to fraction form
    139,003.88/191,828.30 = 78,570.90/x
  3. Step 3: Cross multiply
    139,003.88x = 191,828.30 × 78,570.90
  4. Step 4: Simplify right side
    139,003.88x = 15,072,121,783.62
  5. Step 5: Solve for x
    x = 15,072,121,783.62/139,003.88
  6. Step 6: Final answer
    x = 108,429.51

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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.