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Finding the Fourth Proportional to 140,078.74, 210,069.82 and 45,284.64

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Solution

The fourth proportional to 140,078.74, 210,069.82 and 45,284.64 is: 67,911.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,078.74 : 210,069.82 = 45,284.64 : x
  2. Step 2: Convert to fraction form
    140,078.74/210,069.82 = 45,284.64/x
  3. Step 3: Cross multiply
    140,078.74x = 210,069.82 × 45,284.64
  4. Step 4: Simplify right side
    140,078.74x = 9,512,936,173.56
  5. Step 5: Solve for x
    x = 9,512,936,173.56/140,078.74
  6. Step 6: Final answer
    x = 67,911.35

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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.