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Finding the Fourth Proportional to 135,561, 187,060.77 and 78,205.53

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Solution

The fourth proportional to 135,561, 187,060.77 and 78,205.53 is: 107,915.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,561 : 187,060.77 = 78,205.53 : x
  2. Step 2: Convert to fraction form
    135,561/187,060.77 = 78,205.53/x
  3. Step 3: Cross multiply
    135,561x = 187,060.77 × 78,205.53
  4. Step 4: Simplify right side
    135,561x = 14,629,186,660.06
  5. Step 5: Solve for x
    x = 14,629,186,660.06/135,561
  6. Step 6: Final answer
    x = 107,915.90

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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.