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Finding the Fourth Proportional to 208,568.76, 312,882.89 and 64,486.98

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Solution

The fourth proportional to 208,568.76, 312,882.89 and 64,486.98 is: 96,739.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,568.76 : 312,882.89 = 64,486.98 : x
  2. Step 2: Convert to fraction form
    208,568.76/312,882.89 = 64,486.98/x
  3. Step 3: Cross multiply
    208,568.76x = 312,882.89 × 64,486.98
  4. Step 4: Simplify right side
    208,568.76x = 20,176,872,669.77
  5. Step 5: Solve for x
    x = 20,176,872,669.77/208,568.76
  6. Step 6: Final answer
    x = 96,739.67

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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.