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Finding the Fourth Proportional to 72,530.88, 108,694.16 and 57,673.84

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Solution

The fourth proportional to 72,530.88, 108,694.16 and 57,673.84 is: 86,429.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,530.88 : 108,694.16 = 57,673.84 : x
  2. Step 2: Convert to fraction form
    72,530.88/108,694.16 = 57,673.84/x
  3. Step 3: Cross multiply
    72,530.88x = 108,694.16 × 57,673.84
  4. Step 4: Simplify right side
    72,530.88x = 6,268,809,592.77
  5. Step 5: Solve for x
    x = 6,268,809,592.77/72,530.88
  6. Step 6: Final answer
    x = 86,429.53

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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.