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Finding the Fourth Proportional to 103,685.76, 155,528.37 and 41,400

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Solution

The fourth proportional to 103,685.76, 155,528.37 and 41,400 is: 62,099.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,685.76 : 155,528.37 = 41,400 : x
  2. Step 2: Convert to fraction form
    103,685.76/155,528.37 = 41,400/x
  3. Step 3: Cross multiply
    103,685.76x = 155,528.37 × 41,400
  4. Step 4: Simplify right side
    103,685.76x = 6,438,874,518
  5. Step 5: Solve for x
    x = 6,438,874,518/103,685.76
  6. Step 6: Final answer
    x = 62,099.89

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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.