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Finding the Fourth Proportional to 36,352, 50,165.28 and 20,219.20

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Solution

The fourth proportional to 36,352, 50,165.28 and 20,219.20 is: 27,902.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,352 : 50,165.28 = 20,219.20 : x
  2. Step 2: Convert to fraction form
    36,352/50,165.28 = 20,219.20/x
  3. Step 3: Cross multiply
    36,352x = 50,165.28 × 20,219.20
  4. Step 4: Simplify right side
    36,352x = 1,014,301,829.38
  5. Step 5: Solve for x
    x = 1,014,301,829.38/36,352
  6. Step 6: Final answer
    x = 27,902.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.