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Finding the Fourth Proportional to 100,405.32, 150,559.48 and 58,296

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Solution

The fourth proportional to 100,405.32, 150,559.48 and 58,296 is: 87,415.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,405.32 : 150,559.48 = 58,296 : x
  2. Step 2: Convert to fraction form
    100,405.32/150,559.48 = 58,296/x
  3. Step 3: Cross multiply
    100,405.32x = 150,559.48 × 58,296
  4. Step 4: Simplify right side
    100,405.32x = 8,777,015,446.08
  5. Step 5: Solve for x
    x = 8,777,015,446.08/100,405.32
  6. Step 6: Final answer
    x = 87,415.84

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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.