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Finding the Fourth Proportional to 77,697.99, 116,769.11 and 72,432.81

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Solution

The fourth proportional to 77,697.99, 116,769.11 and 72,432.81 is: 108,856.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,697.99 : 116,769.11 = 72,432.81 : x
  2. Step 2: Convert to fraction form
    77,697.99/116,769.11 = 72,432.81/x
  3. Step 3: Cross multiply
    77,697.99x = 116,769.11 × 72,432.81
  4. Step 4: Simplify right side
    77,697.99x = 8,457,914,396.34
  5. Step 5: Solve for x
    x = 8,457,914,396.34/77,697.99
  6. Step 6: Final answer
    x = 108,856.28

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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.