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Finding the Fourth Proportional to 142,731.40, 213,866.70 and 119,230.60

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Solution

The fourth proportional to 142,731.40, 213,866.70 and 119,230.60 is: 178,653.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,731.40 : 213,866.70 = 119,230.60 : x
  2. Step 2: Convert to fraction form
    142,731.40/213,866.70 = 119,230.60/x
  3. Step 3: Cross multiply
    142,731.40x = 213,866.70 × 119,230.60
  4. Step 4: Simplify right side
    142,731.40x = 25,499,454,961.02
  5. Step 5: Solve for x
    x = 25,499,454,961.02/142,731.40
  6. Step 6: Final answer
    x = 178,653.44

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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.