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Finding the Fourth Proportional to 246,709.78, 370,078.12 and 78,217.92

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Solution

The fourth proportional to 246,709.78, 370,078.12 and 78,217.92 is: 117,331.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,709.78 : 370,078.12 = 78,217.92 : x
  2. Step 2: Convert to fraction form
    246,709.78/370,078.12 = 78,217.92/x
  3. Step 3: Cross multiply
    246,709.78x = 370,078.12 × 78,217.92
  4. Step 4: Simplify right side
    246,709.78x = 28,946,740,783.91
  5. Step 5: Solve for x
    x = 28,946,740,783.91/246,709.78
  6. Step 6: Final answer
    x = 117,331.14

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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.