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Finding the Fourth Proportional to 140,821, 211,231.50 and 47,326.75

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Solution

The fourth proportional to 140,821, 211,231.50 and 47,326.75 is: 70,990.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,821 : 211,231.50 = 47,326.75 : x
  2. Step 2: Convert to fraction form
    140,821/211,231.50 = 47,326.75/x
  3. Step 3: Cross multiply
    140,821x = 211,231.50 × 47,326.75
  4. Step 4: Simplify right side
    140,821x = 9,996,900,392.63
  5. Step 5: Solve for x
    x = 9,996,900,392.63/140,821
  6. Step 6: Final answer
    x = 70,990.13

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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.