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Finding the Fourth Proportional to 127,085.54, 190,629.68 and 38,339.82

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Solution

The fourth proportional to 127,085.54, 190,629.68 and 38,339.82 is: 57,510.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,085.54 : 190,629.68 = 38,339.82 : x
  2. Step 2: Convert to fraction form
    127,085.54/190,629.68 = 38,339.82/x
  3. Step 3: Cross multiply
    127,085.54x = 190,629.68 × 38,339.82
  4. Step 4: Simplify right side
    127,085.54x = 7,308,707,713.71
  5. Step 5: Solve for x
    x = 7,308,707,713.71/127,085.54
  6. Step 6: Final answer
    x = 57,510.14

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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.