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Finding the Fourth Proportional to 140,640, 211,011.84 and 74,077.44

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Solution

The fourth proportional to 140,640, 211,011.84 and 74,077.44 is: 111,143.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,640 : 211,011.84 = 74,077.44 : x
  2. Step 2: Convert to fraction form
    140,640/211,011.84 = 74,077.44/x
  3. Step 3: Cross multiply
    140,640x = 211,011.84 × 74,077.44
  4. Step 4: Simplify right side
    140,640x = 15,631,216,916.89
  5. Step 5: Solve for x
    x = 15,631,216,916.89/140,640
  6. Step 6: Final answer
    x = 111,143.46

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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.