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Finding the Fourth Proportional to 141,097.41, 194,719.13 and 77,438.67

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Solution

The fourth proportional to 141,097.41, 194,719.13 and 77,438.67 is: 106,867.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,097.41 : 194,719.13 = 77,438.67 : x
  2. Step 2: Convert to fraction form
    141,097.41/194,719.13 = 77,438.67/x
  3. Step 3: Cross multiply
    141,097.41x = 194,719.13 × 77,438.67
  4. Step 4: Simplify right side
    141,097.41x = 15,078,790,063.56
  5. Step 5: Solve for x
    x = 15,078,790,063.56/141,097.41
  6. Step 6: Final answer
    x = 106,867.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.