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Finding the Fourth Proportional to 139,365, 192,327.21 and 75,702.78

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Solution

The fourth proportional to 139,365, 192,327.21 and 75,702.78 is: 104,471.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,365 : 192,327.21 = 75,702.78 : x
  2. Step 2: Convert to fraction form
    139,365/192,327.21 = 75,702.78/x
  3. Step 3: Cross multiply
    139,365x = 192,327.21 × 75,702.78
  4. Step 4: Simplify right side
    139,365x = 14,559,704,466.64
  5. Step 5: Solve for x
    x = 14,559,704,466.64/139,365
  6. Step 6: Final answer
    x = 104,471.74

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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.