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Finding the Fourth Proportional to 77,581.99, 116,372.81 and 20,655.91

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Solution

The fourth proportional to 77,581.99, 116,372.81 and 20,655.91 is: 30,983.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,581.99 : 116,372.81 = 20,655.91 : x
  2. Step 2: Convert to fraction form
    77,581.99/116,372.81 = 20,655.91/x
  3. Step 3: Cross multiply
    77,581.99x = 116,372.81 × 20,655.91
  4. Step 4: Simplify right side
    77,581.99x = 2,403,786,289.81
  5. Step 5: Solve for x
    x = 2,403,786,289.81/77,581.99
  6. Step 6: Final answer
    x = 30,983.82

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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.