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Finding the Fourth Proportional to 76,371.27, 105,392.93 and 42,379.89

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Solution

The fourth proportional to 76,371.27, 105,392.93 and 42,379.89 is: 58,484.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,371.27 : 105,392.93 = 42,379.89 : x
  2. Step 2: Convert to fraction form
    76,371.27/105,392.93 = 42,379.89/x
  3. Step 3: Cross multiply
    76,371.27x = 105,392.93 × 42,379.89
  4. Step 4: Simplify right side
    76,371.27x = 4,466,540,568.28
  5. Step 5: Solve for x
    x = 4,466,540,568.28/76,371.27
  6. Step 6: Final answer
    x = 58,484.57

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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.