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Finding the Fourth Proportional to 236,209, 325,968.42 and 130,225

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Solution

The fourth proportional to 236,209, 325,968.42 and 130,225 is: 179,710.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,209 : 325,968.42 = 130,225 : x
  2. Step 2: Convert to fraction form
    236,209/325,968.42 = 130,225/x
  3. Step 3: Cross multiply
    236,209x = 325,968.42 × 130,225
  4. Step 4: Simplify right side
    236,209x = 42,449,237,494.50
  5. Step 5: Solve for x
    x = 42,449,237,494.50/236,209
  6. Step 6: Final answer
    x = 179,710.50

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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.