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Finding the Fourth Proportional to 139,021.85, 191,848.13 and 78,590.49

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Solution

The fourth proportional to 139,021.85, 191,848.13 and 78,590.49 is: 108,453.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,021.85 : 191,848.13 = 78,590.49 : x
  2. Step 2: Convert to fraction form
    139,021.85/191,848.13 = 78,590.49/x
  3. Step 3: Cross multiply
    139,021.85x = 191,848.13 × 78,590.49
  4. Step 4: Simplify right side
    139,021.85x = 15,077,437,724.62
  5. Step 5: Solve for x
    x = 15,077,437,724.62/139,021.85
  6. Step 6: Final answer
    x = 108,453.72

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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.