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Finding the Fourth Proportional to 74,773.81, 103,188 and 40,782.34

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Solution

The fourth proportional to 74,773.81, 103,188 and 40,782.34 is: 56,279.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,773.81 : 103,188 = 40,782.34 : x
  2. Step 2: Convert to fraction form
    74,773.81/103,188 = 40,782.34/x
  3. Step 3: Cross multiply
    74,773.81x = 103,188 × 40,782.34
  4. Step 4: Simplify right side
    74,773.81x = 4,208,248,099.92
  5. Step 5: Solve for x
    x = 4,208,248,099.92/74,773.81
  6. Step 6: Final answer
    x = 56,279.71

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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.