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Finding the Fourth Proportional to 187,660.97, 258,978.35 and 102,782.69

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Solution

The fourth proportional to 187,660.97, 258,978.35 and 102,782.69 is: 141,843.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,660.97 : 258,978.35 = 102,782.69 : x
  2. Step 2: Convert to fraction form
    187,660.97/258,978.35 = 102,782.69/x
  3. Step 3: Cross multiply
    187,660.97x = 258,978.35 × 102,782.69
  4. Step 4: Simplify right side
    187,660.97x = 26,618,490,426.83
  5. Step 5: Solve for x
    x = 26,618,490,426.83/187,660.97
  6. Step 6: Final answer
    x = 141,843.51

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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.