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Finding the Fourth Proportional to 160,642.42, 221,687.84 and 89,023.64

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Solution

The fourth proportional to 160,642.42, 221,687.84 and 89,023.64 is: 122,853.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,642.42 : 221,687.84 = 89,023.64 : x
  2. Step 2: Convert to fraction form
    160,642.42/221,687.84 = 89,023.64/x
  3. Step 3: Cross multiply
    160,642.42x = 221,687.84 × 89,023.64
  4. Step 4: Simplify right side
    160,642.42x = 19,735,458,460.54
  5. Step 5: Solve for x
    x = 19,735,458,460.54/160,642.42
  6. Step 6: Final answer
    x = 122,853.34

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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.