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Finding the Fourth Proportional to 445,418, 668,165.88 and 112,994

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Solution

The fourth proportional to 445,418, 668,165.88 and 112,994 is: 169,500.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,418 : 668,165.88 = 112,994 : x
  2. Step 2: Convert to fraction form
    445,418/668,165.88 = 112,994/x
  3. Step 3: Cross multiply
    445,418x = 668,165.88 × 112,994
  4. Step 4: Simplify right side
    445,418x = 75,498,735,444.72
  5. Step 5: Solve for x
    x = 75,498,735,444.72/445,418
  6. Step 6: Final answer
    x = 169,500.86

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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.