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Finding the Fourth Proportional to 160,806.54, 221,926.65 and 89,209.63

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Solution

The fourth proportional to 160,806.54, 221,926.65 and 89,209.63 is: 123,116.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,806.54 : 221,926.65 = 89,209.63 : x
  2. Step 2: Convert to fraction form
    160,806.54/221,926.65 = 89,209.63/x
  3. Step 3: Cross multiply
    160,806.54x = 221,926.65 × 89,209.63
  4. Step 4: Simplify right side
    160,806.54x = 19,797,993,224.01
  5. Step 5: Solve for x
    x = 19,797,993,224.01/160,806.54
  6. Step 6: Final answer
    x = 123,116.84

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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.