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Finding the Fourth Proportional to 235,780, 325,376.42 and 128,350.82

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Solution

The fourth proportional to 235,780, 325,376.42 and 128,350.82 is: 177,124.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,780 : 325,376.42 = 128,350.82 : x
  2. Step 2: Convert to fraction form
    235,780/325,376.42 = 128,350.82/x
  3. Step 3: Cross multiply
    235,780x = 325,376.42 × 128,350.82
  4. Step 4: Simplify right side
    235,780x = 41,762,330,315.66
  5. Step 5: Solve for x
    x = 41,762,330,315.66/235,780
  6. Step 6: Final answer
    x = 177,124.14

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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.