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Finding the Fourth Proportional to 76,687.30, 105,917.10 and 51,149.32

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Solution

The fourth proportional to 76,687.30, 105,917.10 and 51,149.32 is: 70,645.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,687.30 : 105,917.10 = 51,149.32 : x
  2. Step 2: Convert to fraction form
    76,687.30/105,917.10 = 51,149.32/x
  3. Step 3: Cross multiply
    76,687.30x = 105,917.10 × 51,149.32
  4. Step 4: Simplify right side
    76,687.30x = 5,417,587,641.37
  5. Step 5: Solve for x
    x = 5,417,587,641.37/76,687.30
  6. Step 6: Final answer
    x = 70,645.17

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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.