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Finding the Fourth Proportional to 135,942, 187,611.48 and 76,337.52

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Solution

The fourth proportional to 135,942, 187,611.48 and 76,337.52 is: 105,352.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,942 : 187,611.48 = 76,337.52 : x
  2. Step 2: Convert to fraction form
    135,942/187,611.48 = 76,337.52/x
  3. Step 3: Cross multiply
    135,942x = 187,611.48 × 76,337.52
  4. Step 4: Simplify right side
    135,942x = 14,321,795,106.73
  5. Step 5: Solve for x
    x = 14,321,795,106.73/135,942
  6. Step 6: Final answer
    x = 105,352.25

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1.5x scale

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.