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Finding the Fourth Proportional to 164,961.80, 247,393.32 and 86,032.97

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Solution

The fourth proportional to 164,961.80, 247,393.32 and 86,032.97 is: 129,023.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,961.80 : 247,393.32 = 86,032.97 : x
  2. Step 2: Convert to fraction form
    164,961.80/247,393.32 = 86,032.97/x
  3. Step 3: Cross multiply
    164,961.80x = 247,393.32 × 86,032.97
  4. Step 4: Simplify right side
    164,961.80x = 21,283,980,840.79
  5. Step 5: Solve for x
    x = 21,283,980,840.79/164,961.80
  6. Step 6: Final answer
    x = 129,023.70

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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.