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Finding the Fourth Proportional to 74,773.83, 112,181.94 and 30,432.40

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Solution

The fourth proportional to 74,773.83, 112,181.94 and 30,432.40 is: 45,657.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,773.83 : 112,181.94 = 30,432.40 : x
  2. Step 2: Convert to fraction form
    74,773.83/112,181.94 = 30,432.40/x
  3. Step 3: Cross multiply
    74,773.83x = 112,181.94 × 30,432.40
  4. Step 4: Simplify right side
    74,773.83x = 3,413,965,670.86
  5. Step 5: Solve for x
    x = 3,413,965,670.86/74,773.83
  6. Step 6: Final answer
    x = 45,657.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.