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Finding the Fourth Proportional to 81,399.16, 121,879.98 and 51,655.96

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Solution

The fourth proportional to 81,399.16, 121,879.98 and 51,655.96 is: 77,345.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,399.16 : 121,879.98 = 51,655.96 : x
  2. Step 2: Convert to fraction form
    81,399.16/121,879.98 = 51,655.96/x
  3. Step 3: Cross multiply
    81,399.16x = 121,879.98 × 51,655.96
  4. Step 4: Simplify right side
    81,399.16x = 6,295,827,371.68
  5. Step 5: Solve for x
    x = 6,295,827,371.68/81,399.16
  6. Step 6: Final answer
    x = 77,345.11

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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.