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Finding the Fourth Proportional to 65,219.94, 97,825.13 and 20,834.78

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Solution

The fourth proportional to 65,219.94, 97,825.13 and 20,834.78 is: 31,250.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,219.94 : 97,825.13 = 20,834.78 : x
  2. Step 2: Convert to fraction form
    65,219.94/97,825.13 = 20,834.78/x
  3. Step 3: Cross multiply
    65,219.94x = 97,825.13 × 20,834.78
  4. Step 4: Simplify right side
    65,219.94x = 2,038,164,869.55
  5. Step 5: Solve for x
    x = 2,038,164,869.55/65,219.94
  6. Step 6: Final answer
    x = 31,250.64

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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.