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Finding the Fourth Proportional to 159,059.60, 238,128.60 and 142,470.80

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Solution

The fourth proportional to 159,059.60, 238,128.60 and 142,470.80 is: 213,293.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,059.60 : 238,128.60 = 142,470.80 : x
  2. Step 2: Convert to fraction form
    159,059.60/238,128.60 = 142,470.80/x
  3. Step 3: Cross multiply
    159,059.60x = 238,128.60 × 142,470.80
  4. Step 4: Simplify right side
    159,059.60x = 33,926,372,144.88
  5. Step 5: Solve for x
    x = 33,926,372,144.88/159,059.60
  6. Step 6: Final answer
    x = 213,293.46

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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.