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Finding the Fourth Proportional to 210,659.52, 290,862.36 and 130,197.36

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Solution

The fourth proportional to 210,659.52, 290,862.36 and 130,197.36 is: 179,766.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,659.52 : 290,862.36 = 130,197.36 : x
  2. Step 2: Convert to fraction form
    210,659.52/290,862.36 = 130,197.36/x
  3. Step 3: Cross multiply
    210,659.52x = 290,862.36 × 130,197.36
  4. Step 4: Simplify right side
    210,659.52x = 37,869,511,395.37
  5. Step 5: Solve for x
    x = 37,869,511,395.37/210,659.52
  6. Step 6: Final answer
    x = 179,766.44

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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.