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Finding the Fourth Proportional to 135,768.88, 187,443.48 and 105,497.02

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Solution

The fourth proportional to 135,768.88, 187,443.48 and 105,497.02 is: 145,649.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,768.88 : 187,443.48 = 105,497.02 : x
  2. Step 2: Convert to fraction form
    135,768.88/187,443.48 = 105,497.02/x
  3. Step 3: Cross multiply
    135,768.88x = 187,443.48 × 105,497.02
  4. Step 4: Simplify right side
    135,768.88x = 19,774,728,558.43
  5. Step 5: Solve for x
    x = 19,774,728,558.43/135,768.88
  6. Step 6: Final answer
    x = 145,649.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.