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Finding the Fourth Proportional to 76,224.56, 105,146.28 and 44,390

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Solution

The fourth proportional to 76,224.56, 105,146.28 and 44,390 is: 61,232.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,224.56 : 105,146.28 = 44,390 : x
  2. Step 2: Convert to fraction form
    76,224.56/105,146.28 = 44,390/x
  3. Step 3: Cross multiply
    76,224.56x = 105,146.28 × 44,390
  4. Step 4: Simplify right side
    76,224.56x = 4,667,443,369.20
  5. Step 5: Solve for x
    x = 4,667,443,369.20/76,224.56
  6. Step 6: Final answer
    x = 61,232.80

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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.