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Finding the Fourth Proportional to 160,806.77, 221,953.71 and 109,211.19

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Solution

The fourth proportional to 160,806.77, 221,953.71 and 109,211.19 is: 150,738.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,806.77 : 221,953.71 = 109,211.19 : x
  2. Step 2: Convert to fraction form
    160,806.77/221,953.71 = 109,211.19/x
  3. Step 3: Cross multiply
    160,806.77x = 221,953.71 × 109,211.19
  4. Step 4: Simplify right side
    160,806.77x = 24,239,828,294.44
  5. Step 5: Solve for x
    x = 24,239,828,294.44/160,806.77
  6. Step 6: Final answer
    x = 150,738.86

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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.