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Finding the Fourth Proportional to 69,273.87, 103,878.51 and 35,985

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Solution

The fourth proportional to 69,273.87, 103,878.51 and 35,985 is: 53,960.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,273.87 : 103,878.51 = 35,985 : x
  2. Step 2: Convert to fraction form
    69,273.87/103,878.51 = 35,985/x
  3. Step 3: Cross multiply
    69,273.87x = 103,878.51 × 35,985
  4. Step 4: Simplify right side
    69,273.87x = 3,738,068,182.35
  5. Step 5: Solve for x
    x = 3,738,068,182.35/69,273.87
  6. Step 6: Final answer
    x = 53,960.72

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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.