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Finding the Fourth Proportional to 412,109.31, 618,133.23 and 127,802.07

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Solution

The fourth proportional to 412,109.31, 618,133.23 and 127,802.07 is: 191,693.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,109.31 : 618,133.23 = 127,802.07 : x
  2. Step 2: Convert to fraction form
    412,109.31/618,133.23 = 127,802.07/x
  3. Step 3: Cross multiply
    412,109.31x = 618,133.23 × 127,802.07
  4. Step 4: Simplify right side
    412,109.31x = 78,998,706,329.79
  5. Step 5: Solve for x
    x = 78,998,706,329.79/412,109.31
  6. Step 6: Final answer
    x = 191,693.57

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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.