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Finding the Fourth Proportional to 281,303.12, 421,991.76 and 91,697.06

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Solution

The fourth proportional to 281,303.12, 421,991.76 and 91,697.06 is: 137,557.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,303.12 : 421,991.76 = 91,697.06 : x
  2. Step 2: Convert to fraction form
    281,303.12/421,991.76 = 91,697.06/x
  3. Step 3: Cross multiply
    281,303.12x = 421,991.76 × 91,697.06
  4. Step 4: Simplify right side
    281,303.12x = 38,695,401,626.27
  5. Step 5: Solve for x
    x = 38,695,401,626.27/281,303.12
  6. Step 6: Final answer
    x = 137,557.67

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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.