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Finding the Fourth Proportional to 285,123, 427,684.50 and 88,131

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Solution

The fourth proportional to 285,123, 427,684.50 and 88,131 is: 132,196.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,123 : 427,684.50 = 88,131 : x
  2. Step 2: Convert to fraction form
    285,123/427,684.50 = 88,131/x
  3. Step 3: Cross multiply
    285,123x = 427,684.50 × 88,131
  4. Step 4: Simplify right side
    285,123x = 37,692,262,669.50
  5. Step 5: Solve for x
    x = 37,692,262,669.50/285,123
  6. Step 6: Final answer
    x = 132,196.50

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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.