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Finding the Fourth Proportional to 122,833.70, 183,813.15 and 85,217.30

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Solution

The fourth proportional to 122,833.70, 183,813.15 and 85,217.30 is: 127,522.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,833.70 : 183,813.15 = 85,217.30 : x
  2. Step 2: Convert to fraction form
    122,833.70/183,813.15 = 85,217.30/x
  3. Step 3: Cross multiply
    122,833.70x = 183,813.15 × 85,217.30
  4. Step 4: Simplify right side
    122,833.70x = 15,664,060,347.50
  5. Step 5: Solve for x
    x = 15,664,060,347.50/122,833.70
  6. Step 6: Final answer
    x = 127,522.50

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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.