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Finding the Fourth Proportional to 139,055.67, 208,085.22 and 120,400.07

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Solution

The fourth proportional to 139,055.67, 208,085.22 and 120,400.07 is: 180,168.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,055.67 : 208,085.22 = 120,400.07 : x
  2. Step 2: Convert to fraction form
    139,055.67/208,085.22 = 120,400.07/x
  3. Step 3: Cross multiply
    139,055.67x = 208,085.22 × 120,400.07
  4. Step 4: Simplify right side
    139,055.67x = 25,053,474,013.54
  5. Step 5: Solve for x
    x = 25,053,474,013.54/139,055.67
  6. Step 6: Final answer
    x = 180,168.66

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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.