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Finding the Fourth Proportional to 130,195.88, 179,661.80 and 72,825.24

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Solution

The fourth proportional to 130,195.88, 179,661.80 and 72,825.24 is: 100,494.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,195.88 : 179,661.80 = 72,825.24 : x
  2. Step 2: Convert to fraction form
    130,195.88/179,661.80 = 72,825.24/x
  3. Step 3: Cross multiply
    130,195.88x = 179,661.80 × 72,825.24
  4. Step 4: Simplify right side
    130,195.88x = 13,083,913,703.83
  5. Step 5: Solve for x
    x = 13,083,913,703.83/130,195.88
  6. Step 6: Final answer
    x = 100,494.07

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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.