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Finding the Fourth Proportional to 142,466.58, 213,637.44 and 67,608

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Solution

The fourth proportional to 142,466.58, 213,637.44 and 67,608 is: 101,382.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,466.58 : 213,637.44 = 67,608 : x
  2. Step 2: Convert to fraction form
    142,466.58/213,637.44 = 67,608/x
  3. Step 3: Cross multiply
    142,466.58x = 213,637.44 × 67,608
  4. Step 4: Simplify right side
    142,466.58x = 14,443,600,043.52
  5. Step 5: Solve for x
    x = 14,443,600,043.52/142,466.58
  6. Step 6: Final answer
    x = 101,382.37

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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.