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Finding the Fourth Proportional to 213,830.80, 320,817.46 and 71,690.14

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Solution

The fourth proportional to 213,830.80, 320,817.46 and 71,690.14 is: 107,559.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,830.80 : 320,817.46 = 71,690.14 : x
  2. Step 2: Convert to fraction form
    213,830.80/320,817.46 = 71,690.14/x
  3. Step 3: Cross multiply
    213,830.80x = 320,817.46 × 71,690.14
  4. Step 4: Simplify right side
    213,830.80x = 22,999,448,621.84
  5. Step 5: Solve for x
    x = 22,999,448,621.84/213,830.80
  6. Step 6: Final answer
    x = 107,559.10

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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.