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Finding the Fourth Proportional to 207,543.60, 311,112.90 and 106,341.66

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Solution

The fourth proportional to 207,543.60, 311,112.90 and 106,341.66 is: 159,408.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,543.60 : 311,112.90 = 106,341.66 : x
  2. Step 2: Convert to fraction form
    207,543.60/311,112.90 = 106,341.66/x
  3. Step 3: Cross multiply
    207,543.60x = 311,112.90 × 106,341.66
  4. Step 4: Simplify right side
    207,543.60x = 33,084,262,233.41
  5. Step 5: Solve for x
    x = 33,084,262,233.41/207,543.60
  6. Step 6: Final answer
    x = 159,408.73

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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.