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Finding the Fourth Proportional to 76,169.36, 105,101.20 and 47,855

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Solution

The fourth proportional to 76,169.36, 105,101.20 and 47,855 is: 66,032.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,169.36 : 105,101.20 = 47,855 : x
  2. Step 2: Convert to fraction form
    76,169.36/105,101.20 = 47,855/x
  3. Step 3: Cross multiply
    76,169.36x = 105,101.20 × 47,855
  4. Step 4: Simplify right side
    76,169.36x = 5,029,617,926
  5. Step 5: Solve for x
    x = 5,029,617,926/76,169.36
  6. Step 6: Final answer
    x = 66,032.04

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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.