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Finding the Fourth Proportional to 142,239.92, 213,464.87 and 67,359.92

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Solution

The fourth proportional to 142,239.92, 213,464.87 and 67,359.92 is: 101,089.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,239.92 : 213,464.87 = 67,359.92 : x
  2. Step 2: Convert to fraction form
    142,239.92/213,464.87 = 67,359.92/x
  3. Step 3: Cross multiply
    142,239.92x = 213,464.87 × 67,359.92
  4. Step 4: Simplify right side
    142,239.92x = 14,378,977,015.47
  5. Step 5: Solve for x
    x = 14,378,977,015.47/142,239.92
  6. Step 6: Final answer
    x = 101,089.60

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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.