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Finding the Fourth Proportional to 77,071.52, 115,607.24 and 21,667.52

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Solution

The fourth proportional to 77,071.52, 115,607.24 and 21,667.52 is: 32,501.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,071.52 : 115,607.24 = 21,667.52 : x
  2. Step 2: Convert to fraction form
    77,071.52/115,607.24 = 21,667.52/x
  3. Step 3: Cross multiply
    77,071.52x = 115,607.24 × 21,667.52
  4. Step 4: Simplify right side
    77,071.52x = 2,504,922,184.84
  5. Step 5: Solve for x
    x = 2,504,922,184.84/77,071.52
  6. Step 6: Final answer
    x = 32,501.27

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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.