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Finding the Fourth Proportional to 235,700.40, 325,259.76 and 128,268

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Solution

The fourth proportional to 235,700.40, 325,259.76 and 128,268 is: 177,006.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,700.40 : 325,259.76 = 128,268 : x
  2. Step 2: Convert to fraction form
    235,700.40/325,259.76 = 128,268/x
  3. Step 3: Cross multiply
    235,700.40x = 325,259.76 × 128,268
  4. Step 4: Simplify right side
    235,700.40x = 41,720,418,895.68
  5. Step 5: Solve for x
    x = 41,720,418,895.68/235,700.40
  6. Step 6: Final answer
    x = 177,006.14

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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.