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Finding the Fourth Proportional to 213,973.60, 321,011.16 and 73,728.04

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Solution

The fourth proportional to 213,973.60, 321,011.16 and 73,728.04 is: 110,609.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,973.60 : 321,011.16 = 73,728.04 : x
  2. Step 2: Convert to fraction form
    213,973.60/321,011.16 = 73,728.04/x
  3. Step 3: Cross multiply
    213,973.60x = 321,011.16 × 73,728.04
  4. Step 4: Simplify right side
    213,973.60x = 23,667,523,644.93
  5. Step 5: Solve for x
    x = 23,667,523,644.93/213,973.60
  6. Step 6: Final answer
    x = 110,609.55

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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.