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Finding the Fourth Proportional to 61,402, 92,118.12 and 19,849

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Solution

The fourth proportional to 61,402, 92,118.12 and 19,849 is: 29,778.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,402 : 92,118.12 = 19,849 : x
  2. Step 2: Convert to fraction form
    61,402/92,118.12 = 19,849/x
  3. Step 3: Cross multiply
    61,402x = 92,118.12 × 19,849
  4. Step 4: Simplify right side
    61,402x = 1,828,452,563.88
  5. Step 5: Solve for x
    x = 1,828,452,563.88/61,402
  6. Step 6: Final answer
    x = 29,778.39

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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.