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Finding the Fourth Proportional to 213,756.74, 320,454 and 93,722.72

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Solution

The fourth proportional to 213,756.74, 320,454 and 93,722.72 is: 140,504.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,756.74 : 320,454 = 93,722.72 : x
  2. Step 2: Convert to fraction form
    213,756.74/320,454 = 93,722.72/x
  3. Step 3: Cross multiply
    213,756.74x = 320,454 × 93,722.72
  4. Step 4: Simplify right side
    213,756.74x = 30,033,818,912.61
  5. Step 5: Solve for x
    x = 30,033,818,912.61/213,756.74
  6. Step 6: Final answer
    x = 140,504.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.