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Finding the Fourth Proportional to 192,403.30, 288,604.95 and 157,411.30

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Solution

The fourth proportional to 192,403.30, 288,604.95 and 157,411.30 is: 236,116.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,403.30 : 288,604.95 = 157,411.30 : x
  2. Step 2: Convert to fraction form
    192,403.30/288,604.95 = 157,411.30/x
  3. Step 3: Cross multiply
    192,403.30x = 288,604.95 × 157,411.30
  4. Step 4: Simplify right side
    192,403.30x = 45,429,680,365.94
  5. Step 5: Solve for x
    x = 45,429,680,365.94/192,403.30
  6. Step 6: Final answer
    x = 236,116.95

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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.