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Finding the Fourth Proportional to 77,811.64, 116,707.72 and 21,655.96

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Solution

The fourth proportional to 77,811.64, 116,707.72 and 21,655.96 is: 32,481.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,811.64 : 116,707.72 = 21,655.96 : x
  2. Step 2: Convert to fraction form
    77,811.64/116,707.72 = 21,655.96/x
  3. Step 3: Cross multiply
    77,811.64x = 116,707.72 × 21,655.96
  4. Step 4: Simplify right side
    77,811.64x = 2,527,417,716.01
  5. Step 5: Solve for x
    x = 2,527,417,716.01/77,811.64
  6. Step 6: Final answer
    x = 32,481.23

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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.