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Finding the Fourth Proportional to 139,695.74, 209,467.06 and 55,370.49

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Solution

The fourth proportional to 139,695.74, 209,467.06 and 55,370.49 is: 83,025.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,695.74 : 209,467.06 = 55,370.49 : x
  2. Step 2: Convert to fraction form
    139,695.74/209,467.06 = 55,370.49/x
  3. Step 3: Cross multiply
    139,695.74x = 209,467.06 × 55,370.49
  4. Step 4: Simplify right side
    139,695.74x = 11,598,293,751.06
  5. Step 5: Solve for x
    x = 11,598,293,751.06/139,695.74
  6. Step 6: Final answer
    x = 83,025.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.