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Finding the Fourth Proportional to 168,472, 232,521.06 and 100,493.20

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Solution

The fourth proportional to 168,472, 232,521.06 and 100,493.20 is: 138,698.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,472 : 232,521.06 = 100,493.20 : x
  2. Step 2: Convert to fraction form
    168,472/232,521.06 = 100,493.20/x
  3. Step 3: Cross multiply
    168,472x = 232,521.06 × 100,493.20
  4. Step 4: Simplify right side
    168,472x = 23,366,785,386.79
  5. Step 5: Solve for x
    x = 23,366,785,386.79/168,472
  6. Step 6: Final answer
    x = 138,698.33

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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.