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Finding the Fourth Proportional to 105,268.43, 145,268.68 and 57,520.68

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Solution

The fourth proportional to 105,268.43, 145,268.68 and 57,520.68 is: 79,377.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,268.43 : 145,268.68 = 57,520.68 : x
  2. Step 2: Convert to fraction form
    105,268.43/145,268.68 = 57,520.68/x
  3. Step 3: Cross multiply
    105,268.43x = 145,268.68 × 57,520.68
  4. Step 4: Simplify right side
    105,268.43x = 8,355,953,256.30
  5. Step 5: Solve for x
    x = 8,355,953,256.30/105,268.43
  6. Step 6: Final answer
    x = 79,377.58

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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.