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Finding the Fourth Proportional to 68,655.40, 102,966.95 and 38,682.64

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Solution

The fourth proportional to 68,655.40, 102,966.95 and 38,682.64 is: 58,014.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,655.40 : 102,966.95 = 38,682.64 : x
  2. Step 2: Convert to fraction form
    68,655.40/102,966.95 = 38,682.64/x
  3. Step 3: Cross multiply
    68,655.40x = 102,966.95 × 38,682.64
  4. Step 4: Simplify right side
    68,655.40x = 3,983,033,684.16
  5. Step 5: Solve for x
    x = 3,983,033,684.16/68,655.40
  6. Step 6: Final answer
    x = 58,014.87

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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.