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Finding the Fourth Proportional to 104,983.43, 145,015.43 and 77,814.59

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Solution

The fourth proportional to 104,983.43, 145,015.43 and 77,814.59 is: 107,486.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,983.43 : 145,015.43 = 77,814.59 : x
  2. Step 2: Convert to fraction form
    104,983.43/145,015.43 = 77,814.59/x
  3. Step 3: Cross multiply
    104,983.43x = 145,015.43 × 77,814.59
  4. Step 4: Simplify right side
    104,983.43x = 11,284,315,114.97
  5. Step 5: Solve for x
    x = 11,284,315,114.97/104,983.43
  6. Step 6: Final answer
    x = 107,486.64

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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.