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Finding the Fourth Proportional to 65,411.30, 90,266.42 and 36,731.18

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Solution

The fourth proportional to 65,411.30, 90,266.42 and 36,731.18 is: 50,688.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,411.30 : 90,266.42 = 36,731.18 : x
  2. Step 2: Convert to fraction form
    65,411.30/90,266.42 = 36,731.18/x
  3. Step 3: Cross multiply
    65,411.30x = 90,266.42 × 36,731.18
  4. Step 4: Simplify right side
    65,411.30x = 3,315,591,485.99
  5. Step 5: Solve for x
    x = 3,315,591,485.99/65,411.30
  6. Step 6: Final answer
    x = 50,688.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.