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Finding the Fourth Proportional to 85,141.80, 127,785.60 and 37,829.70

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Solution

The fourth proportional to 85,141.80, 127,785.60 and 37,829.70 is: 56,776.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,141.80 : 127,785.60 = 37,829.70 : x
  2. Step 2: Convert to fraction form
    85,141.80/127,785.60 = 37,829.70/x
  3. Step 3: Cross multiply
    85,141.80x = 127,785.60 × 37,829.70
  4. Step 4: Simplify right side
    85,141.80x = 4,834,090,912.32
  5. Step 5: Solve for x
    x = 4,834,090,912.32/85,141.80
  6. Step 6: Final answer
    x = 56,776.94

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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.