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Finding the Fourth Proportional to 214,157.04, 320,969.00 and 138,054.90

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Solution

The fourth proportional to 214,157.04, 320,969.00 and 138,054.90 is: 206,910.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,157.04 : 320,969.00 = 138,054.90 : x
  2. Step 2: Convert to fraction form
    214,157.04/320,969.00 = 138,054.90/x
  3. Step 3: Cross multiply
    214,157.04x = 320,969.00 × 138,054.90
  4. Step 4: Simplify right side
    214,157.04x = 44,311,342,507.83
  5. Step 5: Solve for x
    x = 44,311,342,507.83/214,157.04
  6. Step 6: Final answer
    x = 206,910.52

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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.