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Finding the Fourth Proportional to 77,945,115.20, 116,917,672.80 and 77,945,115.20

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Solution

The fourth proportional to 77,945,115.20, 116,917,672.80 and 77,945,115.20 is: 116,917,672.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,945,115.20 : 116,917,672.80 = 77,945,115.20 : x
  2. Step 2: Convert to fraction form
    77,945,115.20/116,917,672.80 = 77,945,115.20/x
  3. Step 3: Cross multiply
    77,945,115.20x = 116,917,672.80 × 77,945,115.20
  4. Step 4: Simplify right side
    77,945,115.20x = 9,113,161,475,311,906
  5. Step 5: Solve for x
    x = 9,113,161,475,311,906/77,945,115.20
  6. Step 6: Final answer
    x = 116,917,672.80

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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.