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Finding the Fourth Proportional to 85,156, 127,736.16 and 29,752

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Solution

The fourth proportional to 85,156, 127,736.16 and 29,752 is: 44,628.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,156 : 127,736.16 = 29,752 : x
  2. Step 2: Convert to fraction form
    85,156/127,736.16 = 29,752/x
  3. Step 3: Cross multiply
    85,156x = 127,736.16 × 29,752
  4. Step 4: Simplify right side
    85,156x = 3,800,406,232.32
  5. Step 5: Solve for x
    x = 3,800,406,232.32/85,156
  6. Step 6: Final answer
    x = 44,628.75

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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.