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Finding the Fourth Proportional to 140,661, 210,991.50 and 42,165

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Solution

The fourth proportional to 140,661, 210,991.50 and 42,165 is: 63,247.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,661 : 210,991.50 = 42,165 : x
  2. Step 2: Convert to fraction form
    140,661/210,991.50 = 42,165/x
  3. Step 3: Cross multiply
    140,661x = 210,991.50 × 42,165
  4. Step 4: Simplify right side
    140,661x = 8,896,456,597.50
  5. Step 5: Solve for x
    x = 8,896,456,597.50/140,661
  6. Step 6: Final answer
    x = 63,247.50

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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.