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Finding the Fourth Proportional to 214,381.58, 295,980.34 and 138,033.04

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Solution

The fourth proportional to 214,381.58, 295,980.34 and 138,033.04 is: 190,571.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,381.58 : 295,980.34 = 138,033.04 : x
  2. Step 2: Convert to fraction form
    214,381.58/295,980.34 = 138,033.04/x
  3. Step 3: Cross multiply
    214,381.58x = 295,980.34 × 138,033.04
  4. Step 4: Simplify right side
    214,381.58x = 40,855,066,110.43
  5. Step 5: Solve for x
    x = 40,855,066,110.43/214,381.58
  6. Step 6: Final answer
    x = 190,571.72

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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.