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Finding the Fourth Proportional to 85,442.80, 128,125.80 and 32,834.80

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Solution

The fourth proportional to 85,442.80, 128,125.80 and 32,834.80 is: 49,237.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,442.80 : 128,125.80 = 32,834.80 : x
  2. Step 2: Convert to fraction form
    85,442.80/128,125.80 = 32,834.80/x
  3. Step 3: Cross multiply
    85,442.80x = 128,125.80 × 32,834.80
  4. Step 4: Simplify right side
    85,442.80x = 4,206,985,017.84
  5. Step 5: Solve for x
    x = 4,206,985,017.84/85,442.80
  6. Step 6: Final answer
    x = 49,237.44

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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.