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Finding the Fourth Proportional to 105,408.66, 145,463.90 and 57,662.00

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Solution

The fourth proportional to 105,408.66, 145,463.90 and 57,662.00 is: 79,573.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,408.66 : 145,463.90 = 57,662.00 : x
  2. Step 2: Convert to fraction form
    105,408.66/145,463.90 = 57,662.00/x
  3. Step 3: Cross multiply
    105,408.66x = 145,463.90 × 57,662.00
  4. Step 4: Simplify right side
    105,408.66x = 8,387,738,674.48
  5. Step 5: Solve for x
    x = 8,387,738,674.48/105,408.66
  6. Step 6: Final answer
    x = 79,573.53

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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.