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Finding the Fourth Proportional to 72,967.28, 100,700.96 and 41,142.78

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Solution

The fourth proportional to 72,967.28, 100,700.96 and 41,142.78 is: 56,780.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,967.28 : 100,700.96 = 41,142.78 : x
  2. Step 2: Convert to fraction form
    72,967.28/100,700.96 = 41,142.78/x
  3. Step 3: Cross multiply
    72,967.28x = 100,700.96 × 41,142.78
  4. Step 4: Simplify right side
    72,967.28x = 4,143,117,237.35
  5. Step 5: Solve for x
    x = 4,143,117,237.35/72,967.28
  6. Step 6: Final answer
    x = 56,780.48

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1.5x scale

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.