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Finding the Fourth Proportional to 85,774.16, 128,664.12 and 76,034.72

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Solution

The fourth proportional to 85,774.16, 128,664.12 and 76,034.72 is: 114,054.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,774.16 : 128,664.12 = 76,034.72 : x
  2. Step 2: Convert to fraction form
    85,774.16/128,664.12 = 76,034.72/x
  3. Step 3: Cross multiply
    85,774.16x = 128,664.12 × 76,034.72
  4. Step 4: Simplify right side
    85,774.16x = 9,782,940,338.25
  5. Step 5: Solve for x
    x = 9,782,940,338.25/85,774.16
  6. Step 6: Final answer
    x = 114,054.63

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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.