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Finding the Fourth Proportional to 105,523.94, 145,623.02 and 57,777.28

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Solution

The fourth proportional to 105,523.94, 145,623.02 and 57,777.28 is: 79,732.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,523.94 : 145,623.02 = 57,777.28 : x
  2. Step 2: Convert to fraction form
    105,523.94/145,623.02 = 57,777.28/x
  3. Step 3: Cross multiply
    105,523.94x = 145,623.02 × 57,777.28
  4. Step 4: Simplify right side
    105,523.94x = 8,413,701,348.04
  5. Step 5: Solve for x
    x = 8,413,701,348.04/105,523.94
  6. Step 6: Final answer
    x = 79,732.63

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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.