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Finding the Fourth Proportional to 61,581.72, 92,382.30 and 20,019

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Solution

The fourth proportional to 61,581.72, 92,382.30 and 20,019 is: 30,031.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,581.72 : 92,382.30 = 20,019 : x
  2. Step 2: Convert to fraction form
    61,581.72/92,382.30 = 20,019/x
  3. Step 3: Cross multiply
    61,581.72x = 92,382.30 × 20,019
  4. Step 4: Simplify right side
    61,581.72x = 1,849,401,263.70
  5. Step 5: Solve for x
    x = 1,849,401,263.70/61,581.72
  6. Step 6: Final answer
    x = 30,031.66

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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.