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Finding the Fourth Proportional to 72,980.19, 100,769.67 and 57,109.86

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Solution

The fourth proportional to 72,980.19, 100,769.67 and 57,109.86 is: 78,856.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,980.19 : 100,769.67 = 57,109.86 : x
  2. Step 2: Convert to fraction form
    72,980.19/100,769.67 = 57,109.86/x
  3. Step 3: Cross multiply
    72,980.19x = 100,769.67 × 57,109.86
  4. Step 4: Simplify right side
    72,980.19x = 5,754,941,745.95
  5. Step 5: Solve for x
    x = 5,754,941,745.95/72,980.19
  6. Step 6: Final answer
    x = 78,856.22

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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.