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Finding the Fourth Proportional to 208,551.31, 312,820.89 and 50,777.48

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Solution

The fourth proportional to 208,551.31, 312,820.89 and 50,777.48 is: 76,164.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,551.31 : 312,820.89 = 50,777.48 : x
  2. Step 2: Convert to fraction form
    208,551.31/312,820.89 = 50,777.48/x
  3. Step 3: Cross multiply
    208,551.31x = 312,820.89 × 50,777.48
  4. Step 4: Simplify right side
    208,551.31x = 15,884,257,077.19
  5. Step 5: Solve for x
    x = 15,884,257,077.19/208,551.31
  6. Step 6: Final answer
    x = 76,164.74

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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.