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Finding the Fourth Proportional to 342,611.64, 513,931.86 and 105,958.80

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Solution

The fourth proportional to 342,611.64, 513,931.86 and 105,958.80 is: 158,942.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,611.64 : 513,931.86 = 105,958.80 : x
  2. Step 2: Convert to fraction form
    342,611.64/513,931.86 = 105,958.80/x
  3. Step 3: Cross multiply
    342,611.64x = 513,931.86 × 105,958.80
  4. Step 4: Simplify right side
    342,611.64x = 54,455,603,167.37
  5. Step 5: Solve for x
    x = 54,455,603,167.37/342,611.64
  6. Step 6: Final answer
    x = 158,942.65

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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.