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Finding the Fourth Proportional to 65,014, 97,520.68 and 20,639.80

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Solution

The fourth proportional to 65,014, 97,520.68 and 20,639.80 is: 30,959.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,014 : 97,520.68 = 20,639.80 : x
  2. Step 2: Convert to fraction form
    65,014/97,520.68 = 20,639.80/x
  3. Step 3: Cross multiply
    65,014x = 97,520.68 × 20,639.80
  4. Step 4: Simplify right side
    65,014x = 2,012,807,331.06
  5. Step 5: Solve for x
    x = 2,012,807,331.06/65,014
  6. Step 6: Final answer
    x = 30,959.60

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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.