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Finding the Fourth Proportional to 251,019, 346,408.65 and 137,844.18

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Solution

The fourth proportional to 251,019, 346,408.65 and 137,844.18 is: 190,226.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,019 : 346,408.65 = 137,844.18 : x
  2. Step 2: Convert to fraction form
    251,019/346,408.65 = 137,844.18/x
  3. Step 3: Cross multiply
    251,019x = 346,408.65 × 137,844.18
  4. Step 4: Simplify right side
    251,019x = 47,750,416,304.16
  5. Step 5: Solve for x
    x = 47,750,416,304.16/251,019
  6. Step 6: Final answer
    x = 190,226.30

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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.