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Finding the Fourth Proportional to 114,507.82, 171,678.69 and 76,974.79

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Solution

The fourth proportional to 114,507.82, 171,678.69 and 76,974.79 is: 115,406.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,507.82 : 171,678.69 = 76,974.79 : x
  2. Step 2: Convert to fraction form
    114,507.82/171,678.69 = 76,974.79/x
  3. Step 3: Cross multiply
    114,507.82x = 171,678.69 × 76,974.79
  4. Step 4: Simplify right side
    114,507.82x = 13,214,931,110.23
  5. Step 5: Solve for x
    x = 13,214,931,110.23/114,507.82
  6. Step 6: Final answer
    x = 115,406.36

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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.