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Finding the Fourth Proportional to 160,745.74, 221,828.04 and 89,125.78

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Solution

The fourth proportional to 160,745.74, 221,828.04 and 89,125.78 is: 122,992.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,745.74 : 221,828.04 = 89,125.78 : x
  2. Step 2: Convert to fraction form
    160,745.74/221,828.04 = 89,125.78/x
  3. Step 3: Cross multiply
    160,745.74x = 221,828.04 × 89,125.78
  4. Step 4: Simplify right side
    160,745.74x = 19,770,597,090.87
  5. Step 5: Solve for x
    x = 19,770,597,090.87/160,745.74
  6. Step 6: Final answer
    x = 122,992.98

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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.