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Finding the Fourth Proportional to 178,538.56, 267,877.55 and 78,628.54

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Solution

The fourth proportional to 178,538.56, 267,877.55 and 78,628.54 is: 117,973.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,538.56 : 267,877.55 = 78,628.54 : x
  2. Step 2: Convert to fraction form
    178,538.56/267,877.55 = 78,628.54/x
  3. Step 3: Cross multiply
    178,538.56x = 267,877.55 × 78,628.54
  4. Step 4: Simplify right side
    178,538.56x = 21,062,818,922.75
  5. Step 5: Solve for x
    x = 21,062,818,922.75/178,538.56
  6. Step 6: Final answer
    x = 117,973.50

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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.