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Finding the Fourth Proportional to 105,712.59, 158,531.07 and 30,817.87

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Solution

The fourth proportional to 105,712.59, 158,531.07 and 30,817.87 is: 46,215.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,712.59 : 158,531.07 = 30,817.87 : x
  2. Step 2: Convert to fraction form
    105,712.59/158,531.07 = 30,817.87/x
  3. Step 3: Cross multiply
    105,712.59x = 158,531.07 × 30,817.87
  4. Step 4: Simplify right side
    105,712.59x = 4,885,589,625.46
  5. Step 5: Solve for x
    x = 4,885,589,625.46/105,712.59
  6. Step 6: Final answer
    x = 46,215.78

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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.