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Finding the Fourth Proportional to 209,761.37, 314,687.62 and 76,641.42

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Solution

The fourth proportional to 209,761.37, 314,687.62 and 76,641.42 is: 114,978.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,761.37 : 314,687.62 = 76,641.42 : x
  2. Step 2: Convert to fraction form
    209,761.37/314,687.62 = 76,641.42/x
  3. Step 3: Cross multiply
    209,761.37x = 314,687.62 × 76,641.42
  4. Step 4: Simplify right side
    209,761.37x = 24,118,106,053.22
  5. Step 5: Solve for x
    x = 24,118,106,053.22/209,761.37
  6. Step 6: Final answer
    x = 114,978.78

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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.