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Finding the Fourth Proportional to 105,783.93, 145,991.21 and 58,046.49

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Solution

The fourth proportional to 105,783.93, 145,991.21 and 58,046.49 is: 80,109.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,783.93 : 145,991.21 = 58,046.49 : x
  2. Step 2: Convert to fraction form
    105,783.93/145,991.21 = 58,046.49/x
  3. Step 3: Cross multiply
    105,783.93x = 145,991.21 × 58,046.49
  4. Step 4: Simplify right side
    105,783.93x = 8,474,277,021.12
  5. Step 5: Solve for x
    x = 8,474,277,021.12/105,783.93
  6. Step 6: Final answer
    x = 80,109.30

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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.