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Finding the Fourth Proportional to 178,992, 247,002.64 and 98,418.96

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Solution

The fourth proportional to 178,992, 247,002.64 and 98,418.96 is: 135,814.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,992 : 247,002.64 = 98,418.96 : x
  2. Step 2: Convert to fraction form
    178,992/247,002.64 = 98,418.96/x
  3. Step 3: Cross multiply
    178,992x = 247,002.64 × 98,418.96
  4. Step 4: Simplify right side
    178,992x = 24,309,742,700.01
  5. Step 5: Solve for x
    x = 24,309,742,700.01/178,992
  6. Step 6: Final answer
    x = 135,814.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.