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Finding the Fourth Proportional to 77,072.50, 115,608.75 and 21,668.50

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Solution

The fourth proportional to 77,072.50, 115,608.75 and 21,668.50 is: 32,502.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,072.50 : 115,608.75 = 21,668.50 : x
  2. Step 2: Convert to fraction form
    77,072.50/115,608.75 = 21,668.50/x
  3. Step 3: Cross multiply
    77,072.50x = 115,608.75 × 21,668.50
  4. Step 4: Simplify right side
    77,072.50x = 2,505,068,199.38
  5. Step 5: Solve for x
    x = 2,505,068,199.38/77,072.50
  6. Step 6: Final answer
    x = 32,502.75

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1.5x scale

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.