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Finding the Fourth Proportional to 68,666.42, 102,973.71 and 31,704.50

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Solution

The fourth proportional to 68,666.42, 102,973.71 and 31,704.50 is: 47,544.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,666.42 : 102,973.71 = 31,704.50 : x
  2. Step 2: Convert to fraction form
    68,666.42/102,973.71 = 31,704.50/x
  3. Step 3: Cross multiply
    68,666.42x = 102,973.71 × 31,704.50
  4. Step 4: Simplify right side
    68,666.42x = 3,264,729,988.70
  5. Step 5: Solve for x
    x = 3,264,729,988.70/68,666.42
  6. Step 6: Final answer
    x = 47,544.78

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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.