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Finding the Fourth Proportional to 77,475.78, 116,198.36 and 21,301.40

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Solution

The fourth proportional to 77,475.78, 116,198.36 and 21,301.40 is: 31,947.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,475.78 : 116,198.36 = 21,301.40 : x
  2. Step 2: Convert to fraction form
    77,475.78/116,198.36 = 21,301.40/x
  3. Step 3: Cross multiply
    77,475.78x = 116,198.36 × 21,301.40
  4. Step 4: Simplify right side
    77,475.78x = 2,475,187,058.21
  5. Step 5: Solve for x
    x = 2,475,187,058.21/77,475.78
  6. Step 6: Final answer
    x = 31,947.88

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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.