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Finding the Fourth Proportional to 129,585.85, 194,971.70 and 77,034.67

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Solution

The fourth proportional to 129,585.85, 194,971.70 and 77,034.67 is: 115,904.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,585.85 : 194,971.70 = 77,034.67 : x
  2. Step 2: Convert to fraction form
    129,585.85/194,971.70 = 77,034.67/x
  3. Step 3: Cross multiply
    129,585.85x = 194,971.70 × 77,034.67
  4. Step 4: Simplify right side
    129,585.85x = 15,019,580,571.82
  5. Step 5: Solve for x
    x = 15,019,580,571.82/129,585.85
  6. Step 6: Final answer
    x = 115,904.48

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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.