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Finding the Fourth Proportional to 208,035.70, 311,871.30 and 141,259.30

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Solution

The fourth proportional to 208,035.70, 311,871.30 and 141,259.30 is: 211,765.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,035.70 : 311,871.30 = 141,259.30 : x
  2. Step 2: Convert to fraction form
    208,035.70/311,871.30 = 141,259.30/x
  3. Step 3: Cross multiply
    208,035.70x = 311,871.30 × 141,259.30
  4. Step 4: Simplify right side
    208,035.70x = 44,054,721,528.09
  5. Step 5: Solve for x
    x = 44,054,721,528.09/208,035.70
  6. Step 6: Final answer
    x = 211,765.20

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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.