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Finding the Fourth Proportional to 142,995.78, 214,232.24 and 66,954.80

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Solution

The fourth proportional to 142,995.78, 214,232.24 and 66,954.80 is: 100,309.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,995.78 : 214,232.24 = 66,954.80 : x
  2. Step 2: Convert to fraction form
    142,995.78/214,232.24 = 66,954.80/x
  3. Step 3: Cross multiply
    142,995.78x = 214,232.24 × 66,954.80
  4. Step 4: Simplify right side
    142,995.78x = 14,343,877,485.72
  5. Step 5: Solve for x
    x = 14,343,877,485.72/142,995.78
  6. Step 6: Final answer
    x = 100,309.80

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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.