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Finding the Fourth Proportional to 192,402.30, 288,603.45 and 157,410.30

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Solution

The fourth proportional to 192,402.30, 288,603.45 and 157,410.30 is: 236,115.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,402.30 : 288,603.45 = 157,410.30 : x
  2. Step 2: Convert to fraction form
    192,402.30/288,603.45 = 157,410.30/x
  3. Step 3: Cross multiply
    192,402.30x = 288,603.45 × 157,410.30
  4. Step 4: Simplify right side
    192,402.30x = 45,429,155,645.54
  5. Step 5: Solve for x
    x = 45,429,155,645.54/192,402.30
  6. Step 6: Final answer
    x = 236,115.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.