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Finding the Fourth Proportional to 178,821.60, 268,232.40 and 159,122.40

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Solution

The fourth proportional to 178,821.60, 268,232.40 and 159,122.40 is: 238,683.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,821.60 : 268,232.40 = 159,122.40 : x
  2. Step 2: Convert to fraction form
    178,821.60/268,232.40 = 159,122.40/x
  3. Step 3: Cross multiply
    178,821.60x = 268,232.40 × 159,122.40
  4. Step 4: Simplify right side
    178,821.60x = 42,681,783,245.76
  5. Step 5: Solve for x
    x = 42,681,783,245.76/178,821.60
  6. Step 6: Final answer
    x = 238,683.60

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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.