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Finding the Fourth Proportional to 140,690.94, 211,013.61 and 51,986.22

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Solution

The fourth proportional to 140,690.94, 211,013.61 and 51,986.22 is: 77,970.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,690.94 : 211,013.61 = 51,986.22 : x
  2. Step 2: Convert to fraction form
    140,690.94/211,013.61 = 51,986.22/x
  3. Step 3: Cross multiply
    140,690.94x = 211,013.61 × 51,986.22
  4. Step 4: Simplify right side
    140,690.94x = 10,969,799,952.45
  5. Step 5: Solve for x
    x = 10,969,799,952.45/140,690.94
  6. Step 6: Final answer
    x = 77,970.91

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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.