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Finding the Fourth Proportional to 213,640, 320,464.32 and 65,896

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Solution

The fourth proportional to 213,640, 320,464.32 and 65,896 is: 98,845.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,640 : 320,464.32 = 65,896 : x
  2. Step 2: Convert to fraction form
    213,640/320,464.32 = 65,896/x
  3. Step 3: Cross multiply
    213,640x = 320,464.32 × 65,896
  4. Step 4: Simplify right side
    213,640x = 21,117,316,830.72
  5. Step 5: Solve for x
    x = 21,117,316,830.72/213,640
  6. Step 6: Final answer
    x = 98,845.33

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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.