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Finding the Fourth Proportional to 65,185.65, 97,783.74 and 20,818.71

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Solution

The fourth proportional to 65,185.65, 97,783.74 and 20,818.71 is: 31,229.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,185.65 : 97,783.74 = 20,818.71 : x
  2. Step 2: Convert to fraction form
    65,185.65/97,783.74 = 20,818.71/x
  3. Step 3: Cross multiply
    65,185.65x = 97,783.74 × 20,818.71
  4. Step 4: Simplify right side
    65,185.65x = 2,035,731,325.78
  5. Step 5: Solve for x
    x = 2,035,731,325.78/65,185.65
  6. Step 6: Final answer
    x = 31,229.75

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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.