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Finding the Fourth Proportional to 100,959.86, 139,321.34 and 57,946.43

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Solution

The fourth proportional to 100,959.86, 139,321.34 and 57,946.43 is: 79,964.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,959.86 : 139,321.34 = 57,946.43 : x
  2. Step 2: Convert to fraction form
    100,959.86/139,321.34 = 57,946.43/x
  3. Step 3: Cross multiply
    100,959.86x = 139,321.34 × 57,946.43
  4. Step 4: Simplify right side
    100,959.86x = 8,073,174,275.82
  5. Step 5: Solve for x
    x = 8,073,174,275.82/100,959.86
  6. Step 6: Final answer
    x = 79,964.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.