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Finding the Fourth Proportional to 145,847, 201,268.94 and 78,779

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Solution

The fourth proportional to 145,847, 201,268.94 and 78,779 is: 108,715.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,847 : 201,268.94 = 78,779 : x
  2. Step 2: Convert to fraction form
    145,847/201,268.94 = 78,779/x
  3. Step 3: Cross multiply
    145,847x = 201,268.94 × 78,779
  4. Step 4: Simplify right side
    145,847x = 15,855,765,824.26
  5. Step 5: Solve for x
    x = 15,855,765,824.26/145,847
  6. Step 6: Final answer
    x = 108,715.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.