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Finding the Fourth Proportional to 40,981, 61,486.08 and 20,219.08

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Solution

The fourth proportional to 40,981, 61,486.08 and 20,219.08 is: 30,335.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,981 : 61,486.08 = 20,219.08 : x
  2. Step 2: Convert to fraction form
    40,981/61,486.08 = 20,219.08/x
  3. Step 3: Cross multiply
    40,981x = 61,486.08 × 20,219.08
  4. Step 4: Simplify right side
    40,981x = 1,243,191,970.41
  5. Step 5: Solve for x
    x = 1,243,191,970.41/40,981
  6. Step 6: Final answer
    x = 30,335.81

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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.