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Finding the Fourth Proportional to 104,062.64, 143,486.73 and 76,878.06

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Solution

The fourth proportional to 104,062.64, 143,486.73 and 76,878.06 is: 106,003.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,062.64 : 143,486.73 = 76,878.06 : x
  2. Step 2: Convert to fraction form
    104,062.64/143,486.73 = 76,878.06/x
  3. Step 3: Cross multiply
    104,062.64x = 143,486.73 × 76,878.06
  4. Step 4: Simplify right side
    104,062.64x = 11,030,981,438.14
  5. Step 5: Solve for x
    x = 11,030,981,438.14/104,062.64
  6. Step 6: Final answer
    x = 106,003.28

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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.