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Finding the Fourth Proportional to 104,419, 156,421.14 and 51,667.48

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Solution

The fourth proportional to 104,419, 156,421.14 and 51,667.48 is: 77,398.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,419 : 156,421.14 = 51,667.48 : x
  2. Step 2: Convert to fraction form
    104,419/156,421.14 = 51,667.48/x
  3. Step 3: Cross multiply
    104,419x = 156,421.14 × 51,667.48
  4. Step 4: Simplify right side
    104,419x = 8,081,886,122.53
  5. Step 5: Solve for x
    x = 8,081,886,122.53/104,419
  6. Step 6: Final answer
    x = 77,398.62

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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.