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Finding the Fourth Proportional to 72,771.88, 109,164.30 and 31,209.16

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Solution

The fourth proportional to 72,771.88, 109,164.30 and 31,209.16 is: 46,816.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,771.88 : 109,164.30 = 31,209.16 : x
  2. Step 2: Convert to fraction form
    72,771.88/109,164.30 = 31,209.16/x
  3. Step 3: Cross multiply
    72,771.88x = 109,164.30 × 31,209.16
  4. Step 4: Simplify right side
    72,771.88x = 3,406,926,104.99
  5. Step 5: Solve for x
    x = 3,406,926,104.99/72,771.88
  6. Step 6: Final answer
    x = 46,816.52

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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.