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Finding the Fourth Proportional to 69,153.84, 103,734.93 and 21,770.49

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Solution

The fourth proportional to 69,153.84, 103,734.93 and 21,770.49 is: 32,657.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,153.84 : 103,734.93 = 21,770.49 : x
  2. Step 2: Convert to fraction form
    69,153.84/103,734.93 = 21,770.49/x
  3. Step 3: Cross multiply
    69,153.84x = 103,734.93 × 21,770.49
  4. Step 4: Simplify right side
    69,153.84x = 2,258,360,256.22
  5. Step 5: Solve for x
    x = 2,258,360,256.22/69,153.84
  6. Step 6: Final answer
    x = 32,657.05

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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.