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Finding the Fourth Proportional to 104,989.20, 157,005 and 78,354

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Solution

The fourth proportional to 104,989.20, 157,005 and 78,354 is: 117,173.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,989.20 : 157,005 = 78,354 : x
  2. Step 2: Convert to fraction form
    104,989.20/157,005 = 78,354/x
  3. Step 3: Cross multiply
    104,989.20x = 157,005 × 78,354
  4. Step 4: Simplify right side
    104,989.20x = 12,301,969,770
  5. Step 5: Solve for x
    x = 12,301,969,770/104,989.20
  6. Step 6: Final answer
    x = 117,173.67

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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.