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Finding the Fourth Proportional to 140,679, 211,018.50 and 42,183

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Solution

The fourth proportional to 140,679, 211,018.50 and 42,183 is: 63,274.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,679 : 211,018.50 = 42,183 : x
  2. Step 2: Convert to fraction form
    140,679/211,018.50 = 42,183/x
  3. Step 3: Cross multiply
    140,679x = 211,018.50 × 42,183
  4. Step 4: Simplify right side
    140,679x = 8,901,393,385.50
  5. Step 5: Solve for x
    x = 8,901,393,385.50/140,679
  6. Step 6: Final answer
    x = 63,274.50

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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.