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Finding the Fourth Proportional to 139,940.47, 209,943.51 and 55,705.78

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Solution

The fourth proportional to 139,940.47, 209,943.51 and 55,705.78 is: 83,571.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,940.47 : 209,943.51 = 55,705.78 : x
  2. Step 2: Convert to fraction form
    139,940.47/209,943.51 = 55,705.78/x
  3. Step 3: Cross multiply
    139,940.47x = 209,943.51 × 55,705.78
  4. Step 4: Simplify right side
    139,940.47x = 11,695,066,980.49
  5. Step 5: Solve for x
    x = 11,695,066,980.49/139,940.47
  6. Step 6: Final answer
    x = 83,571.73

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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.