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Finding the Fourth Proportional to 178,368.76, 267,640.26 and 78,516.40

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Solution

The fourth proportional to 178,368.76, 267,640.26 and 78,516.40 is: 117,812.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,368.76 : 267,640.26 = 78,516.40 : x
  2. Step 2: Convert to fraction form
    178,368.76/267,640.26 = 78,516.40/x
  3. Step 3: Cross multiply
    178,368.76x = 267,640.26 × 78,516.40
  4. Step 4: Simplify right side
    178,368.76x = 21,014,149,710.26
  5. Step 5: Solve for x
    x = 21,014,149,710.26/178,368.76
  6. Step 6: Final answer
    x = 117,812.95

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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.