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Finding the Fourth Proportional to 76,504.51, 105,579.39 and 42,512.86

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Solution

The fourth proportional to 76,504.51, 105,579.39 and 42,512.86 is: 58,669.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,504.51 : 105,579.39 = 42,512.86 : x
  2. Step 2: Convert to fraction form
    76,504.51/105,579.39 = 42,512.86/x
  3. Step 3: Cross multiply
    76,504.51x = 105,579.39 × 42,512.86
  4. Step 4: Simplify right side
    76,504.51x = 4,488,481,825.96
  5. Step 5: Solve for x
    x = 4,488,481,825.96/76,504.51
  6. Step 6: Final answer
    x = 58,669.51

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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.