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Finding the Fourth Proportional to 213,226.76, 319,801.44 and 55,445.42

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Solution

The fourth proportional to 213,226.76, 319,801.44 and 55,445.42 is: 83,158.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,226.76 : 319,801.44 = 55,445.42 : x
  2. Step 2: Convert to fraction form
    213,226.76/319,801.44 = 55,445.42/x
  3. Step 3: Cross multiply
    213,226.76x = 319,801.44 × 55,445.42
  4. Step 4: Simplify right side
    213,226.76x = 17,731,525,157.40
  5. Step 5: Solve for x
    x = 17,731,525,157.40/213,226.76
  6. Step 6: Final answer
    x = 83,158.07

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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.