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Finding the Fourth Proportional to 160,855.84, 221,971.04 and 89,234.40

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Solution

The fourth proportional to 160,855.84, 221,971.04 and 89,234.40 is: 123,137.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,855.84 : 221,971.04 = 89,234.40 : x
  2. Step 2: Convert to fraction form
    160,855.84/221,971.04 = 89,234.40/x
  3. Step 3: Cross multiply
    160,855.84x = 221,971.04 × 89,234.40
  4. Step 4: Simplify right side
    160,855.84x = 19,807,452,571.78
  5. Step 5: Solve for x
    x = 19,807,452,571.78/160,855.84
  6. Step 6: Final answer
    x = 123,137.91

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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.