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Finding the Fourth Proportional to 178,538.40, 267,809.11 and 45,418.77

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Solution

The fourth proportional to 178,538.40, 267,809.11 and 45,418.77 is: 68,128.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,538.40 : 267,809.11 = 45,418.77 : x
  2. Step 2: Convert to fraction form
    178,538.40/267,809.11 = 45,418.77/x
  3. Step 3: Cross multiply
    178,538.40x = 267,809.11 × 45,418.77
  4. Step 4: Simplify right side
    178,538.40x = 12,163,558,804.86
  5. Step 5: Solve for x
    x = 12,163,558,804.86/178,538.40
  6. Step 6: Final answer
    x = 68,128.53

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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.