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Finding the Fourth Proportional to 280,701.99, 421,002.18 and 80,973.27

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Solution

The fourth proportional to 280,701.99, 421,002.18 and 80,973.27 is: 121,445.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,701.99 : 421,002.18 = 80,973.27 : x
  2. Step 2: Convert to fraction form
    280,701.99/421,002.18 = 80,973.27/x
  3. Step 3: Cross multiply
    280,701.99x = 421,002.18 × 80,973.27
  4. Step 4: Simplify right side
    280,701.99x = 34,089,923,191.73
  5. Step 5: Solve for x
    x = 34,089,923,191.73/280,701.99
  6. Step 6: Final answer
    x = 121,445.25

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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.