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Finding the Fourth Proportional to 178,650, 267,617.76 and 107,533.20

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Solution

The fourth proportional to 178,650, 267,617.76 and 107,533.20 is: 161,084.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,650 : 267,617.76 = 107,533.20 : x
  2. Step 2: Convert to fraction form
    178,650/267,617.76 = 107,533.20/x
  3. Step 3: Cross multiply
    178,650x = 267,617.76 × 107,533.20
  4. Step 4: Simplify right side
    178,650x = 28,777,794,109.63
  5. Step 5: Solve for x
    x = 28,777,794,109.63/178,650
  6. Step 6: Final answer
    x = 161,084.77

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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.