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Finding the Fourth Proportional to 208,063.66, 312,021.68 and 74,908.16

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Solution

The fourth proportional to 208,063.66, 312,021.68 and 74,908.16 is: 112,335.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,063.66 : 312,021.68 = 74,908.16 : x
  2. Step 2: Convert to fraction form
    208,063.66/312,021.68 = 74,908.16/x
  3. Step 3: Cross multiply
    208,063.66x = 312,021.68 × 74,908.16
  4. Step 4: Simplify right side
    208,063.66x = 23,372,969,928.91
  5. Step 5: Solve for x
    x = 23,372,969,928.91/208,063.66
  6. Step 6: Final answer
    x = 112,335.67

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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.