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Finding the Fourth Proportional to 127,945.82, 192,085.02 and 98,384.40

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Solution

The fourth proportional to 127,945.82, 192,085.02 and 98,384.40 is: 147,704.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,945.82 : 192,085.02 = 98,384.40 : x
  2. Step 2: Convert to fraction form
    127,945.82/192,085.02 = 98,384.40/x
  3. Step 3: Cross multiply
    127,945.82x = 192,085.02 × 98,384.40
  4. Step 4: Simplify right side
    127,945.82x = 18,898,169,441.69
  5. Step 5: Solve for x
    x = 18,898,169,441.69/127,945.82
  6. Step 6: Final answer
    x = 147,704.47

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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.