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Finding the Fourth Proportional to 145,806.76, 217,911.22 and 106,446.76

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Solution

The fourth proportional to 145,806.76, 217,911.22 and 106,446.76 is: 159,086.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,806.76 : 217,911.22 = 106,446.76 : x
  2. Step 2: Convert to fraction form
    145,806.76/217,911.22 = 106,446.76/x
  3. Step 3: Cross multiply
    145,806.76x = 217,911.22 × 106,446.76
  4. Step 4: Simplify right side
    145,806.76x = 23,195,943,336.65
  5. Step 5: Solve for x
    x = 23,195,943,336.65/145,806.76
  6. Step 6: Final answer
    x = 159,086.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.