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Finding the Fourth Proportional to 72,980.64, 100,713.16 and 41,149.36

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Solution

The fourth proportional to 72,980.64, 100,713.16 and 41,149.36 is: 56,786.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,980.64 : 100,713.16 = 41,149.36 : x
  2. Step 2: Convert to fraction form
    72,980.64/100,713.16 = 41,149.36/x
  3. Step 3: Cross multiply
    72,980.64x = 100,713.16 × 41,149.36
  4. Step 4: Simplify right side
    72,980.64x = 4,144,282,077.58
  5. Step 5: Solve for x
    x = 4,144,282,077.58/72,980.64
  6. Step 6: Final answer
    x = 56,786.05

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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.