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Finding the Fourth Proportional to 81,393.16, 121,871 and 51,649.96

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Solution

The fourth proportional to 81,393.16, 121,871 and 51,649.96 is: 77,336.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,393.16 : 121,871 = 51,649.96 : x
  2. Step 2: Convert to fraction form
    81,393.16/121,871 = 51,649.96/x
  3. Step 3: Cross multiply
    81,393.16x = 121,871 × 51,649.96
  4. Step 4: Simplify right side
    81,393.16x = 6,294,632,275.16
  5. Step 5: Solve for x
    x = 6,294,632,275.16/81,393.16
  6. Step 6: Final answer
    x = 77,336.13

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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.