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Finding the Fourth Proportional to 160,980.21, 222,152.73 and 89,366.90

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Solution

The fourth proportional to 160,980.21, 222,152.73 and 89,366.90 is: 123,326.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,980.21 : 222,152.73 = 89,366.90 : x
  2. Step 2: Convert to fraction form
    160,980.21/222,152.73 = 89,366.90/x
  3. Step 3: Cross multiply
    160,980.21x = 222,152.73 × 89,366.90
  4. Step 4: Simplify right side
    160,980.21x = 19,853,099,360.75
  5. Step 5: Solve for x
    x = 19,853,099,360.75/160,980.21
  6. Step 6: Final answer
    x = 123,326.34

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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.