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Finding the Fourth Proportional to 85,084.64, 127,621.78 and 37,685.82

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Solution

The fourth proportional to 85,084.64, 127,621.78 and 37,685.82 is: 56,526.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,084.64 : 127,621.78 = 37,685.82 : x
  2. Step 2: Convert to fraction form
    85,084.64/127,621.78 = 37,685.82/x
  3. Step 3: Cross multiply
    85,084.64x = 127,621.78 × 37,685.82
  4. Step 4: Simplify right side
    85,084.64x = 4,809,531,429.16
  5. Step 5: Solve for x
    x = 4,809,531,429.16/85,084.64
  6. Step 6: Final answer
    x = 56,526.44

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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.