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Finding the Fourth Proportional to 92,576.68, 138,871.50 and 45,817

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Solution

The fourth proportional to 92,576.68, 138,871.50 and 45,817 is: 68,728.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,576.68 : 138,871.50 = 45,817 : x
  2. Step 2: Convert to fraction form
    92,576.68/138,871.50 = 45,817/x
  3. Step 3: Cross multiply
    92,576.68x = 138,871.50 × 45,817
  4. Step 4: Simplify right side
    92,576.68x = 6,362,675,515.50
  5. Step 5: Solve for x
    x = 6,362,675,515.50/92,576.68
  6. Step 6: Final answer
    x = 68,728.71

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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.