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Finding the Fourth Proportional to 254,742.70, 382,114.05 and 136,644.70

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Solution

The fourth proportional to 254,742.70, 382,114.05 and 136,644.70 is: 204,967.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,742.70 : 382,114.05 = 136,644.70 : x
  2. Step 2: Convert to fraction form
    254,742.70/382,114.05 = 136,644.70/x
  3. Step 3: Cross multiply
    254,742.70x = 382,114.05 × 136,644.70
  4. Step 4: Simplify right side
    254,742.70x = 52,213,859,728.04
  5. Step 5: Solve for x
    x = 52,213,859,728.04/254,742.70
  6. Step 6: Final answer
    x = 204,967.05

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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.