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Finding the Fourth Proportional to 61,401, 92,116.62 and 19,848

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Solution

The fourth proportional to 61,401, 92,116.62 and 19,848 is: 29,776.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,401 : 92,116.62 = 19,848 : x
  2. Step 2: Convert to fraction form
    61,401/92,116.62 = 19,848/x
  3. Step 3: Cross multiply
    61,401x = 92,116.62 × 19,848
  4. Step 4: Simplify right side
    61,401x = 1,828,330,673.76
  5. Step 5: Solve for x
    x = 1,828,330,673.76/61,401
  6. Step 6: Final answer
    x = 29,776.89

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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.