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Finding the Fourth Proportional to 65,205.68, 97,813.74 and 20,838.74

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Solution

The fourth proportional to 65,205.68, 97,813.74 and 20,838.74 is: 31,259.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,205.68 : 97,813.74 = 20,838.74 : x
  2. Step 2: Convert to fraction form
    65,205.68/97,813.74 = 20,838.74/x
  3. Step 3: Cross multiply
    65,205.68x = 97,813.74 × 20,838.74
  4. Step 4: Simplify right side
    65,205.68x = 2,038,315,096.29
  5. Step 5: Solve for x
    x = 2,038,315,096.29/65,205.68
  6. Step 6: Final answer
    x = 31,259.78

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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.