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Finding the Fourth Proportional to 100,393.20, 150,298.20 and 97,477.20

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Solution

The fourth proportional to 100,393.20, 150,298.20 and 97,477.20 is: 145,932.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,393.20 : 150,298.20 = 97,477.20 : x
  2. Step 2: Convert to fraction form
    100,393.20/150,298.20 = 97,477.20/x
  3. Step 3: Cross multiply
    100,393.20x = 150,298.20 × 97,477.20
  4. Step 4: Simplify right side
    100,393.20x = 14,650,647,701.04
  5. Step 5: Solve for x
    x = 14,650,647,701.04/100,393.20
  6. Step 6: Final answer
    x = 145,932.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.