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Finding the Fourth Proportional to 238,607.96, 357,930.20 and 78,621.60

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Solution

The fourth proportional to 238,607.96, 357,930.20 and 78,621.60 is: 117,938.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,607.96 : 357,930.20 = 78,621.60 : x
  2. Step 2: Convert to fraction form
    238,607.96/357,930.20 = 78,621.60/x
  3. Step 3: Cross multiply
    238,607.96x = 357,930.20 × 78,621.60
  4. Step 4: Simplify right side
    238,607.96x = 28,141,045,012.32
  5. Step 5: Solve for x
    x = 28,141,045,012.32/238,607.96
  6. Step 6: Final answer
    x = 117,938.42

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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.