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Finding the Fourth Proportional to 121,103.48, 181,731.36 and 64,228.52

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Solution

The fourth proportional to 121,103.48, 181,731.36 and 64,228.52 is: 96,383.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,103.48 : 181,731.36 = 64,228.52 : x
  2. Step 2: Convert to fraction form
    121,103.48/181,731.36 = 64,228.52/x
  3. Step 3: Cross multiply
    121,103.48x = 181,731.36 × 64,228.52
  4. Step 4: Simplify right side
    121,103.48x = 11,672,336,290.39
  5. Step 5: Solve for x
    x = 11,672,336,290.39/121,103.48
  6. Step 6: Final answer
    x = 96,383.16

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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.