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Finding the Fourth Proportional to 140,684.44, 211,044 and 45,889.28

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Solution

The fourth proportional to 140,684.44, 211,044 and 45,889.28 is: 68,839.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,684.44 : 211,044 = 45,889.28 : x
  2. Step 2: Convert to fraction form
    140,684.44/211,044 = 45,889.28/x
  3. Step 3: Cross multiply
    140,684.44x = 211,044 × 45,889.28
  4. Step 4: Simplify right side
    140,684.44x = 9,684,657,208.32
  5. Step 5: Solve for x
    x = 9,684,657,208.32/140,684.44
  6. Step 6: Final answer
    x = 68,839.58

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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.