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Finding the Fourth Proportional to 213,314, 320,022.84 and 65,570

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Solution

The fourth proportional to 213,314, 320,022.84 and 65,570 is: 98,370.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,314 : 320,022.84 = 65,570 : x
  2. Step 2: Convert to fraction form
    213,314/320,022.84 = 65,570/x
  3. Step 3: Cross multiply
    213,314x = 320,022.84 × 65,570
  4. Step 4: Simplify right side
    213,314x = 20,983,897,618.80
  5. Step 5: Solve for x
    x = 20,983,897,618.80/213,314
  6. Step 6: Final answer
    x = 98,370.93

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