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Finding the Fourth Proportional to 178,078.40, 267,117.60 and 118,494.80

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Solution

The fourth proportional to 178,078.40, 267,117.60 and 118,494.80 is: 177,742.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,078.40 : 267,117.60 = 118,494.80 : x
  2. Step 2: Convert to fraction form
    178,078.40/267,117.60 = 118,494.80/x
  3. Step 3: Cross multiply
    178,078.40x = 267,117.60 × 118,494.80
  4. Step 4: Simplify right side
    178,078.40x = 31,652,046,588.48
  5. Step 5: Solve for x
    x = 31,652,046,588.48/178,078.40
  6. Step 6: Final answer
    x = 177,742.20

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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.