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Finding the Fourth Proportional to 68,541.60, 102,812.40 and 31,605.60

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Solution

The fourth proportional to 68,541.60, 102,812.40 and 31,605.60 is: 47,408.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,541.60 : 102,812.40 = 31,605.60 : x
  2. Step 2: Convert to fraction form
    68,541.60/102,812.40 = 31,605.60/x
  3. Step 3: Cross multiply
    68,541.60x = 102,812.40 × 31,605.60
  4. Step 4: Simplify right side
    68,541.60x = 3,249,447,589.44
  5. Step 5: Solve for x
    x = 3,249,447,589.44/68,541.60
  6. Step 6: Final answer
    x = 47,408.40

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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.