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Finding the Fourth Proportional to 68,505.40, 102,756.64 and 31,569.40

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Solution

The fourth proportional to 68,505.40, 102,756.64 and 31,569.40 is: 47,353.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,505.40 : 102,756.64 = 31,569.40 : x
  2. Step 2: Convert to fraction form
    68,505.40/102,756.64 = 31,569.40/x
  3. Step 3: Cross multiply
    68,505.40x = 102,756.64 × 31,569.40
  4. Step 4: Simplify right side
    68,505.40x = 3,243,965,470.82
  5. Step 5: Solve for x
    x = 3,243,965,470.82/68,505.40
  6. Step 6: Final answer
    x = 47,353.43

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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.