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Finding the Fourth Proportional to 85,297.84, 127,780.44 and 51,935.14

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Solution

The fourth proportional to 85,297.84, 127,780.44 and 51,935.14 is: 77,801.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,297.84 : 127,780.44 = 51,935.14 : x
  2. Step 2: Convert to fraction form
    85,297.84/127,780.44 = 51,935.14/x
  3. Step 3: Cross multiply
    85,297.84x = 127,780.44 × 51,935.14
  4. Step 4: Simplify right side
    85,297.84x = 6,636,295,040.66
  5. Step 5: Solve for x
    x = 6,636,295,040.66/85,297.84
  6. Step 6: Final answer
    x = 77,801.44

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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.