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Finding the Fourth Proportional to 85,385.56, 128,082 and 26,223.58

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Solution

The fourth proportional to 85,385.56, 128,082 and 26,223.58 is: 39,336.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,385.56 : 128,082 = 26,223.58 : x
  2. Step 2: Convert to fraction form
    85,385.56/128,082 = 26,223.58/x
  3. Step 3: Cross multiply
    85,385.56x = 128,082 × 26,223.58
  4. Step 4: Simplify right side
    85,385.56x = 3,358,768,573.56
  5. Step 5: Solve for x
    x = 3,358,768,573.56/85,385.56
  6. Step 6: Final answer
    x = 39,336.49

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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.