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Finding the Fourth Proportional to 160,782.70, 221,880.72 and 89,169.34

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Solution

The fourth proportional to 160,782.70, 221,880.72 and 89,169.34 is: 123,054.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,782.70 : 221,880.72 = 89,169.34 : x
  2. Step 2: Convert to fraction form
    160,782.70/221,880.72 = 89,169.34/x
  3. Step 3: Cross multiply
    160,782.70x = 221,880.72 × 89,169.34
  4. Step 4: Simplify right side
    160,782.70x = 19,784,957,361.12
  5. Step 5: Solve for x
    x = 19,784,957,361.12/160,782.70
  6. Step 6: Final answer
    x = 123,054.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.