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Finding the Fourth Proportional to 213,720, 320,584.32 and 55,962.24

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Solution

The fourth proportional to 213,720, 320,584.32 and 55,962.24 is: 83,944.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,720 : 320,584.32 = 55,962.24 : x
  2. Step 2: Convert to fraction form
    213,720/320,584.32 = 55,962.24/x
  3. Step 3: Cross multiply
    213,720x = 320,584.32 × 55,962.24
  4. Step 4: Simplify right side
    213,720x = 17,940,616,656.08
  5. Step 5: Solve for x
    x = 17,940,616,656.08/213,720
  6. Step 6: Final answer
    x = 83,944.49

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1.5x scale

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.