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Finding the Fourth Proportional to 181,712.80, 272,828.40 and 137,648.80

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Solution

The fourth proportional to 181,712.80, 272,828.40 and 137,648.80 is: 206,669.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,712.80 : 272,828.40 = 137,648.80 : x
  2. Step 2: Convert to fraction form
    181,712.80/272,828.40 = 137,648.80/x
  3. Step 3: Cross multiply
    181,712.80x = 272,828.40 × 137,648.80
  4. Step 4: Simplify right side
    181,712.80x = 37,554,501,865.92
  5. Step 5: Solve for x
    x = 37,554,501,865.92/181,712.80
  6. Step 6: Final answer
    x = 206,669.55

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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.