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Finding the Fourth Proportional to 209,912.67, 314,887.88 and 67,761.32

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Solution

The fourth proportional to 209,912.67, 314,887.88 and 67,761.32 is: 101,648.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,912.67 : 314,887.88 = 67,761.32 : x
  2. Step 2: Convert to fraction form
    209,912.67/314,887.88 = 67,761.32/x
  3. Step 3: Cross multiply
    209,912.67x = 314,887.88 × 67,761.32
  4. Step 4: Simplify right side
    209,912.67x = 21,337,216,995.77
  5. Step 5: Solve for x
    x = 21,337,216,995.77/209,912.67
  6. Step 6: Final answer
    x = 101,648.07

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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.