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Finding the Fourth Proportional to 77,709.70, 116,622.15 and 51,405.70

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Solution

The fourth proportional to 77,709.70, 116,622.15 and 51,405.70 is: 77,146.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,709.70 : 116,622.15 = 51,405.70 : x
  2. Step 2: Convert to fraction form
    77,709.70/116,622.15 = 51,405.70/x
  3. Step 3: Cross multiply
    77,709.70x = 116,622.15 × 51,405.70
  4. Step 4: Simplify right side
    77,709.70x = 5,995,043,256.26
  5. Step 5: Solve for x
    x = 5,995,043,256.26/77,709.70
  6. Step 6: Final answer
    x = 77,146.65

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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.