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Finding the Fourth Proportional to 105,649.48, 158,473.02 and 25,687.90

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Solution

The fourth proportional to 105,649.48, 158,473.02 and 25,687.90 is: 38,531.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,649.48 : 158,473.02 = 25,687.90 : x
  2. Step 2: Convert to fraction form
    105,649.48/158,473.02 = 25,687.90/x
  3. Step 3: Cross multiply
    105,649.48x = 158,473.02 × 25,687.90
  4. Step 4: Simplify right side
    105,649.48x = 4,070,839,090.46
  5. Step 5: Solve for x
    x = 4,070,839,090.46/105,649.48
  6. Step 6: Final answer
    x = 38,531.56

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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.