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Finding the Fourth Proportional to 208,055.70, 311,901.30 and 141,279.30

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Solution

The fourth proportional to 208,055.70, 311,901.30 and 141,279.30 is: 211,795.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,055.70 : 311,901.30 = 141,279.30 : x
  2. Step 2: Convert to fraction form
    208,055.70/311,901.30 = 141,279.30/x
  3. Step 3: Cross multiply
    208,055.70x = 311,901.30 × 141,279.30
  4. Step 4: Simplify right side
    208,055.70x = 44,065,197,333.09
  5. Step 5: Solve for x
    x = 44,065,197,333.09/208,055.70
  6. Step 6: Final answer
    x = 211,795.19

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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.