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Finding the Fourth Proportional to 213,812.60, 320,643.30 and 73,538.60

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Solution

The fourth proportional to 213,812.60, 320,643.30 and 73,538.60 is: 110,281.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,812.60 : 320,643.30 = 73,538.60 : x
  2. Step 2: Convert to fraction form
    213,812.60/320,643.30 = 73,538.60/x
  3. Step 3: Cross multiply
    213,812.60x = 320,643.30 × 73,538.60
  4. Step 4: Simplify right side
    213,812.60x = 23,579,659,381.38
  5. Step 5: Solve for x
    x = 23,579,659,381.38/213,812.60
  6. Step 6: Final answer
    x = 110,281.90

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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.