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Finding the Fourth Proportional to 208,475.50, 312,710.70 and 50,704.12

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Solution

The fourth proportional to 208,475.50, 312,710.70 and 50,704.12 is: 76,055.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,475.50 : 312,710.70 = 50,704.12 : x
  2. Step 2: Convert to fraction form
    208,475.50/312,710.70 = 50,704.12/x
  3. Step 3: Cross multiply
    208,475.50x = 312,710.70 × 50,704.12
  4. Step 4: Simplify right side
    208,475.50x = 15,855,720,858.08
  5. Step 5: Solve for x
    x = 15,855,720,858.08/208,475.50
  6. Step 6: Final answer
    x = 76,055.56

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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.