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Finding the Fourth Proportional to 178,889.80, 268,104.30 and 137,129.80

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Solution

The fourth proportional to 178,889.80, 268,104.30 and 137,129.80 is: 205,518.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,889.80 : 268,104.30 = 137,129.80 : x
  2. Step 2: Convert to fraction form
    178,889.80/268,104.30 = 137,129.80/x
  3. Step 3: Cross multiply
    178,889.80x = 268,104.30 × 137,129.80
  4. Step 4: Simplify right side
    178,889.80x = 36,765,089,038.14
  5. Step 5: Solve for x
    x = 36,765,089,038.14/178,889.80
  6. Step 6: Final answer
    x = 205,518.08

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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.