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Finding the Fourth Proportional to 85,713.78, 128,619.27 and 46,270.02

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Solution

The fourth proportional to 85,713.78, 128,619.27 and 46,270.02 is: 69,431.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,713.78 : 128,619.27 = 46,270.02 : x
  2. Step 2: Convert to fraction form
    85,713.78/128,619.27 = 46,270.02/x
  3. Step 3: Cross multiply
    85,713.78x = 128,619.27 × 46,270.02
  4. Step 4: Simplify right side
    85,713.78x = 5,951,216,195.29
  5. Step 5: Solve for x
    x = 5,951,216,195.29/85,713.78
  6. Step 6: Final answer
    x = 69,431.27

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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.