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Finding the Fourth Proportional to 139,094.57, 191,930.31 and 77,840.47

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Solution

The fourth proportional to 139,094.57, 191,930.31 and 77,840.47 is: 107,408.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,094.57 : 191,930.31 = 77,840.47 : x
  2. Step 2: Convert to fraction form
    139,094.57/191,930.31 = 77,840.47/x
  3. Step 3: Cross multiply
    139,094.57x = 191,930.31 × 77,840.47
  4. Step 4: Simplify right side
    139,094.57x = 14,939,945,777.56
  5. Step 5: Solve for x
    x = 14,939,945,777.56/139,094.57
  6. Step 6: Final answer
    x = 107,408.55

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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.