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Finding the Fourth Proportional to 85,120.84, 127,701.94 and 25,957.56

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Solution

The fourth proportional to 85,120.84, 127,701.94 and 25,957.56 is: 38,942.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,120.84 : 127,701.94 = 25,957.56 : x
  2. Step 2: Convert to fraction form
    85,120.84/127,701.94 = 25,957.56/x
  3. Step 3: Cross multiply
    85,120.84x = 127,701.94 × 25,957.56
  4. Step 4: Simplify right side
    85,120.84x = 3,314,830,769.67
  5. Step 5: Solve for x
    x = 3,314,830,769.67/85,120.84
  6. Step 6: Final answer
    x = 38,942.65

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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.