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Finding the Fourth Proportional to 213,312, 320,019.84 and 65,568

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Solution

The fourth proportional to 213,312, 320,019.84 and 65,568 is: 98,367.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,312 : 320,019.84 = 65,568 : x
  2. Step 2: Convert to fraction form
    213,312/320,019.84 = 65,568/x
  3. Step 3: Cross multiply
    213,312x = 320,019.84 × 65,568
  4. Step 4: Simplify right side
    213,312x = 20,983,060,869.12
  5. Step 5: Solve for x
    x = 20,983,060,869.12/213,312
  6. Step 6: Final answer
    x = 98,367.93

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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.