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Finding the Fourth Proportional to 65,205.40, 97,813.50 and 20,838.46

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Solution

The fourth proportional to 65,205.40, 97,813.50 and 20,838.46 is: 31,259.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,205.40 : 97,813.50 = 20,838.46 : x
  2. Step 2: Convert to fraction form
    65,205.40/97,813.50 = 20,838.46/x
  3. Step 3: Cross multiply
    65,205.40x = 97,813.50 × 20,838.46
  4. Step 4: Simplify right side
    65,205.40x = 2,038,282,707.21
  5. Step 5: Solve for x
    x = 2,038,282,707.21/65,205.40
  6. Step 6: Final answer
    x = 31,259.42

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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.