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Finding the Fourth Proportional to 77,963.92, 116,939.40 and 31,219.36

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Solution

The fourth proportional to 77,963.92, 116,939.40 and 31,219.36 is: 46,826.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,963.92 : 116,939.40 = 31,219.36 : x
  2. Step 2: Convert to fraction form
    77,963.92/116,939.40 = 31,219.36/x
  3. Step 3: Cross multiply
    77,963.92x = 116,939.40 × 31,219.36
  4. Step 4: Simplify right side
    77,963.92x = 3,650,773,226.78
  5. Step 5: Solve for x
    x = 3,650,773,226.78/77,963.92
  6. Step 6: Final answer
    x = 46,826.45

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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.