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Finding the Fourth Proportional to 208,263.96, 312,356.39 and 101,540.79

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Solution

The fourth proportional to 208,263.96, 312,356.39 and 101,540.79 is: 152,291.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,263.96 : 312,356.39 = 101,540.79 : x
  2. Step 2: Convert to fraction form
    208,263.96/312,356.39 = 101,540.79/x
  3. Step 3: Cross multiply
    208,263.96x = 312,356.39 × 101,540.79
  4. Step 4: Simplify right side
    208,263.96x = 31,716,914,094.44
  5. Step 5: Solve for x
    x = 31,716,914,094.44/208,263.96
  6. Step 6: Final answer
    x = 152,291.90

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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.