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Finding the Fourth Proportional to 107,399.70, 160,941.15 and 77,879.70

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Solution

The fourth proportional to 107,399.70, 160,941.15 and 77,879.70 is: 116,704.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,399.70 : 160,941.15 = 77,879.70 : x
  2. Step 2: Convert to fraction form
    107,399.70/160,941.15 = 77,879.70/x
  3. Step 3: Cross multiply
    107,399.70x = 160,941.15 × 77,879.70
  4. Step 4: Simplify right side
    107,399.70x = 12,534,048,479.66
  5. Step 5: Solve for x
    x = 12,534,048,479.66/107,399.70
  6. Step 6: Final answer
    x = 116,704.69

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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.