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Finding the Fourth Proportional to 144,101.52, 198,828.36 and 83,637.12

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Solution

The fourth proportional to 144,101.52, 198,828.36 and 83,637.12 is: 115,400.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,101.52 : 198,828.36 = 83,637.12 : x
  2. Step 2: Convert to fraction form
    144,101.52/198,828.36 = 83,637.12/x
  3. Step 3: Cross multiply
    144,101.52x = 198,828.36 × 83,637.12
  4. Step 4: Simplify right side
    144,101.52x = 16,629,431,404.72
  5. Step 5: Solve for x
    x = 16,629,431,404.72/144,101.52
  6. Step 6: Final answer
    x = 115,400.80

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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.