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Finding the Fourth Proportional to 208,558.56, 312,850.02 and 80,475.52

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Solution

The fourth proportional to 208,558.56, 312,850.02 and 80,475.52 is: 120,717.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,558.56 : 312,850.02 = 80,475.52 : x
  2. Step 2: Convert to fraction form
    208,558.56/312,850.02 = 80,475.52/x
  3. Step 3: Cross multiply
    208,558.56x = 312,850.02 × 80,475.52
  4. Step 4: Simplify right side
    208,558.56x = 25,176,768,041.51
  5. Step 5: Solve for x
    x = 25,176,768,041.51/208,558.56
  6. Step 6: Final answer
    x = 120,717.98

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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.