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Finding the Fourth Proportional to 85,295.99, 127,784.04 and 71,345.66

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Solution

The fourth proportional to 85,295.99, 127,784.04 and 71,345.66 is: 106,884.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,295.99 : 127,784.04 = 71,345.66 : x
  2. Step 2: Convert to fraction form
    85,295.99/127,784.04 = 71,345.66/x
  3. Step 3: Cross multiply
    85,295.99x = 127,784.04 × 71,345.66
  4. Step 4: Simplify right side
    85,295.99x = 9,116,836,032.35
  5. Step 5: Solve for x
    x = 9,116,836,032.35/85,295.99
  6. Step 6: Final answer
    x = 106,884.70

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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.