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Finding the Fourth Proportional to 192,386.42, 288,645.24 and 103,649.03

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Solution

The fourth proportional to 192,386.42, 288,645.24 and 103,649.03 is: 155,508.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,386.42 : 288,645.24 = 103,649.03 : x
  2. Step 2: Convert to fraction form
    192,386.42/288,645.24 = 103,649.03/x
  3. Step 3: Cross multiply
    192,386.42x = 288,645.24 × 103,649.03
  4. Step 4: Simplify right side
    192,386.42x = 29,917,799,140.12
  5. Step 5: Solve for x
    x = 29,917,799,140.12/192,386.42
  6. Step 6: Final answer
    x = 155,508.89

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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.