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Finding the Fourth Proportional to 213,533.64, 320,192.33 and 71,328.22

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Solution

The fourth proportional to 213,533.64, 320,192.33 and 71,328.22 is: 106,956.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,533.64 : 320,192.33 = 71,328.22 : x
  2. Step 2: Convert to fraction form
    213,533.64/320,192.33 = 71,328.22/x
  3. Step 3: Cross multiply
    213,533.64x = 320,192.33 × 71,328.22
  4. Step 4: Simplify right side
    213,533.64x = 22,838,747,799.43
  5. Step 5: Solve for x
    x = 22,838,747,799.43/213,533.64
  6. Step 6: Final answer
    x = 106,956.21

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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.