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Finding the Fourth Proportional to 160,818.56, 221,956.19 and 89,221.65

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Solution

The fourth proportional to 160,818.56, 221,956.19 and 89,221.65 is: 123,140.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,818.56 : 221,956.19 = 89,221.65 : x
  2. Step 2: Convert to fraction form
    160,818.56/221,956.19 = 89,221.65/x
  3. Step 3: Cross multiply
    160,818.56x = 221,956.19 × 89,221.65
  4. Step 4: Simplify right side
    160,818.56x = 19,803,296,221.07
  5. Step 5: Solve for x
    x = 19,803,296,221.07/160,818.56
  6. Step 6: Final answer
    x = 123,140.61

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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.