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Finding the Fourth Proportional to 115,878, 159,911.64 and 62,886

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Solution

The fourth proportional to 115,878, 159,911.64 and 62,886 is: 86,782.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,878 : 159,911.64 = 62,886 : x
  2. Step 2: Convert to fraction form
    115,878/159,911.64 = 62,886/x
  3. Step 3: Cross multiply
    115,878x = 159,911.64 × 62,886
  4. Step 4: Simplify right side
    115,878x = 10,056,203,393.04
  5. Step 5: Solve for x
    x = 10,056,203,393.04/115,878
  6. Step 6: Final answer
    x = 86,782.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.