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Finding the Fourth Proportional to 85,287.81, 127,765.44 and 51,925.14

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Solution

The fourth proportional to 85,287.81, 127,765.44 and 51,925.14 is: 77,786.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,287.81 : 127,765.44 = 51,925.14 : x
  2. Step 2: Convert to fraction form
    85,287.81/127,765.44 = 51,925.14/x
  3. Step 3: Cross multiply
    85,287.81x = 127,765.44 × 51,925.14
  4. Step 4: Simplify right side
    85,287.81x = 6,634,238,359.16
  5. Step 5: Solve for x
    x = 6,634,238,359.16/85,287.81
  6. Step 6: Final answer
    x = 77,786.48

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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.