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Finding the Fourth Proportional to 127,960, 191,940.54 and 39,206.68

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Solution

The fourth proportional to 127,960, 191,940.54 and 39,206.68 is: 58,810.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,960 : 191,940.54 = 39,206.68 : x
  2. Step 2: Convert to fraction form
    127,960/191,940.54 = 39,206.68/x
  3. Step 3: Cross multiply
    127,960x = 191,940.54 × 39,206.68
  4. Step 4: Simplify right side
    127,960x = 7,525,351,330.81
  5. Step 5: Solve for x
    x = 7,525,351,330.81/127,960
  6. Step 6: Final answer
    x = 58,810.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.