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Finding the Fourth Proportional to 120,684.84, 180,968.80 and 70,781.28

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Solution

The fourth proportional to 120,684.84, 180,968.80 and 70,781.28 is: 106,137.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,684.84 : 180,968.80 = 70,781.28 : x
  2. Step 2: Convert to fraction form
    120,684.84/180,968.80 = 70,781.28/x
  3. Step 3: Cross multiply
    120,684.84x = 180,968.80 × 70,781.28
  4. Step 4: Simplify right side
    120,684.84x = 12,809,203,304.06
  5. Step 5: Solve for x
    x = 12,809,203,304.06/120,684.84
  6. Step 6: Final answer
    x = 106,137.63

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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.