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Finding the Fourth Proportional to 160,640.42, 221,685.08 and 89,021.64

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Solution

The fourth proportional to 160,640.42, 221,685.08 and 89,021.64 is: 122,850.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,640.42 : 221,685.08 = 89,021.64 : x
  2. Step 2: Convert to fraction form
    160,640.42/221,685.08 = 89,021.64/x
  3. Step 3: Cross multiply
    160,640.42x = 221,685.08 × 89,021.64
  4. Step 4: Simplify right side
    160,640.42x = 19,734,769,385.13
  5. Step 5: Solve for x
    x = 19,734,769,385.13/160,640.42
  6. Step 6: Final answer
    x = 122,850.58

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1.5x scale

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.