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Finding the Fourth Proportional to 65,236, 90,025.68 and 38,740

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Solution

The fourth proportional to 65,236, 90,025.68 and 38,740 is: 53,461.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,236 : 90,025.68 = 38,740 : x
  2. Step 2: Convert to fraction form
    65,236/90,025.68 = 38,740/x
  3. Step 3: Cross multiply
    65,236x = 90,025.68 × 38,740
  4. Step 4: Simplify right side
    65,236x = 3,487,594,843.20
  5. Step 5: Solve for x
    x = 3,487,594,843.20/65,236
  6. Step 6: Final answer
    x = 53,461.20

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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.