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Finding the Fourth Proportional to 102,578.40, 153,608.40 and 67,327.20

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Solution

The fourth proportional to 102,578.40, 153,608.40 and 67,327.20 is: 100,820.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,578.40 : 153,608.40 = 67,327.20 : x
  2. Step 2: Convert to fraction form
    102,578.40/153,608.40 = 67,327.20/x
  3. Step 3: Cross multiply
    102,578.40x = 153,608.40 × 67,327.20
  4. Step 4: Simplify right side
    102,578.40x = 10,342,023,468.48
  5. Step 5: Solve for x
    x = 10,342,023,468.48/102,578.40
  6. Step 6: Final answer
    x = 100,820.67

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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.