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Finding the Fourth Proportional to 91,782.96, 126,661.92 and 50,946

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Solution

The fourth proportional to 91,782.96, 126,661.92 and 50,946 is: 70,306.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,782.96 : 126,661.92 = 50,946 : x
  2. Step 2: Convert to fraction form
    91,782.96/126,661.92 = 50,946/x
  3. Step 3: Cross multiply
    91,782.96x = 126,661.92 × 50,946
  4. Step 4: Simplify right side
    91,782.96x = 6,452,918,176.32
  5. Step 5: Solve for x
    x = 6,452,918,176.32/91,782.96
  6. Step 6: Final answer
    x = 70,306.28

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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.