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Finding the Fourth Proportional to 142,369.02, 213,555.60 and 37,188

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Solution

The fourth proportional to 142,369.02, 213,555.60 and 37,188 is: 55,782.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,369.02 : 213,555.60 = 37,188 : x
  2. Step 2: Convert to fraction form
    142,369.02/213,555.60 = 37,188/x
  3. Step 3: Cross multiply
    142,369.02x = 213,555.60 × 37,188
  4. Step 4: Simplify right side
    142,369.02x = 7,941,705,652.80
  5. Step 5: Solve for x
    x = 7,941,705,652.80/142,369.02
  6. Step 6: Final answer
    x = 55,782.54

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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.