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Finding the Fourth Proportional to 48,378, 72,567 and 17,213.34

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Solution

The fourth proportional to 48,378, 72,567 and 17,213.34 is: 25,820.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,378 : 72,567 = 17,213.34 : x
  2. Step 2: Convert to fraction form
    48,378/72,567 = 17,213.34/x
  3. Step 3: Cross multiply
    48,378x = 72,567 × 17,213.34
  4. Step 4: Simplify right side
    48,378x = 1,249,120,443.78
  5. Step 5: Solve for x
    x = 1,249,120,443.78/48,378
  6. Step 6: Final answer
    x = 25,820.01

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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.