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Finding the Fourth Proportional to 123,213.40, 184,820.10 and 102,218.20

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Solution

The fourth proportional to 123,213.40, 184,820.10 and 102,218.20 is: 153,327.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,213.40 : 184,820.10 = 102,218.20 : x
  2. Step 2: Convert to fraction form
    123,213.40/184,820.10 = 102,218.20/x
  3. Step 3: Cross multiply
    123,213.40x = 184,820.10 × 102,218.20
  4. Step 4: Simplify right side
    123,213.40x = 18,891,977,945.82
  5. Step 5: Solve for x
    x = 18,891,977,945.82/123,213.40
  6. Step 6: Final answer
    x = 153,327.30

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1.5x scale

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.