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Finding the Fourth Proportional to 105,239.40, 157,921.40 and 38,726.25

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Solution

The fourth proportional to 105,239.40, 157,921.40 and 38,726.25 is: 58,112.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,239.40 : 157,921.40 = 38,726.25 : x
  2. Step 2: Convert to fraction form
    105,239.40/157,921.40 = 38,726.25/x
  3. Step 3: Cross multiply
    105,239.40x = 157,921.40 × 38,726.25
  4. Step 4: Simplify right side
    105,239.40x = 6,115,703,791.83
  5. Step 5: Solve for x
    x = 6,115,703,791.83/105,239.40
  6. Step 6: Final answer
    x = 58,112.30

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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.