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Finding the Fourth Proportional to 178,258.34, 267,343.47 and 78,443.54

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Solution

The fourth proportional to 178,258.34, 267,343.47 and 78,443.54 is: 117,645.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,258.34 : 267,343.47 = 78,443.54 : x
  2. Step 2: Convert to fraction form
    178,258.34/267,343.47 = 78,443.54/x
  3. Step 3: Cross multiply
    178,258.34x = 267,343.47 × 78,443.54
  4. Step 4: Simplify right side
    178,258.34x = 20,971,368,182.68
  5. Step 5: Solve for x
    x = 20,971,368,182.68/178,258.34
  6. Step 6: Final answer
    x = 117,645.93

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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.