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Finding the Fourth Proportional to 74,788.96, 112,180.32 and 30,414

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Solution

The fourth proportional to 74,788.96, 112,180.32 and 30,414 is: 45,619.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,788.96 : 112,180.32 = 30,414 : x
  2. Step 2: Convert to fraction form
    74,788.96/112,180.32 = 30,414/x
  3. Step 3: Cross multiply
    74,788.96x = 112,180.32 × 30,414
  4. Step 4: Simplify right side
    74,788.96x = 3,411,852,252.48
  5. Step 5: Solve for x
    x = 3,411,852,252.48/74,788.96
  6. Step 6: Final answer
    x = 45,619.73

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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.