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Finding the Fourth Proportional to 105,301.47, 157,786.16 and 38,649.90

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Solution

The fourth proportional to 105,301.47, 157,786.16 and 38,649.90 is: 57,913.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,301.47 : 157,786.16 = 38,649.90 : x
  2. Step 2: Convert to fraction form
    105,301.47/157,786.16 = 38,649.90/x
  3. Step 3: Cross multiply
    105,301.47x = 157,786.16 × 38,649.90
  4. Step 4: Simplify right side
    105,301.47x = 6,098,419,112.13
  5. Step 5: Solve for x
    x = 6,098,419,112.13/105,301.47
  6. Step 6: Final answer
    x = 57,913.90

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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.