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Finding the Fourth Proportional to 178,975.30, 268,232.55 and 137,215.30

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Solution

The fourth proportional to 178,975.30, 268,232.55 and 137,215.30 is: 205,646.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,975.30 : 268,232.55 = 137,215.30 : x
  2. Step 2: Convert to fraction form
    178,975.30/268,232.55 = 137,215.30/x
  3. Step 3: Cross multiply
    178,975.30x = 268,232.55 × 137,215.30
  4. Step 4: Simplify right side
    178,975.30x = 36,805,609,818.02
  5. Step 5: Solve for x
    x = 36,805,609,818.02/178,975.30
  6. Step 6: Final answer
    x = 205,646.31

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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.