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Finding the Fourth Proportional to 178,435.68, 267,358.20 and 78,445.92

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Solution

The fourth proportional to 178,435.68, 267,358.20 and 78,445.92 is: 117,539.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,435.68 : 267,358.20 = 78,445.92 : x
  2. Step 2: Convert to fraction form
    178,435.68/267,358.20 = 78,445.92/x
  3. Step 3: Cross multiply
    178,435.68x = 267,358.20 × 78,445.92
  4. Step 4: Simplify right side
    178,435.68x = 20,973,159,968.54
  5. Step 5: Solve for x
    x = 20,973,159,968.54/178,435.68
  6. Step 6: Final answer
    x = 117,539.05

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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.