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Finding the Fourth Proportional to 89,611, 134,416.50 and 31,243

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Solution

The fourth proportional to 89,611, 134,416.50 and 31,243 is: 46,864.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,611 : 134,416.50 = 31,243 : x
  2. Step 2: Convert to fraction form
    89,611/134,416.50 = 31,243/x
  3. Step 3: Cross multiply
    89,611x = 134,416.50 × 31,243
  4. Step 4: Simplify right side
    89,611x = 4,199,574,709.50
  5. Step 5: Solve for x
    x = 4,199,574,709.50/89,611
  6. Step 6: Final answer
    x = 46,864.50

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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.