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Finding the Fourth Proportional to 210,263.50, 290,163.90 and 134,812

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Solution

The fourth proportional to 210,263.50, 290,163.90 and 134,812 is: 186,040.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,263.50 : 290,163.90 = 134,812 : x
  2. Step 2: Convert to fraction form
    210,263.50/290,163.90 = 134,812/x
  3. Step 3: Cross multiply
    210,263.50x = 290,163.90 × 134,812
  4. Step 4: Simplify right side
    210,263.50x = 39,117,575,686.80
  5. Step 5: Solve for x
    x = 39,117,575,686.80/210,263.50
  6. Step 6: Final answer
    x = 186,040.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.