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Finding the Fourth Proportional to 154,903.60, 213,903.29 and 96,859.81

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Solution

The fourth proportional to 154,903.60, 213,903.29 and 96,859.81 is: 133,751.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,903.60 : 213,903.29 = 96,859.81 : x
  2. Step 2: Convert to fraction form
    154,903.60/213,903.29 = 96,859.81/x
  3. Step 3: Cross multiply
    154,903.60x = 213,903.29 × 96,859.81
  4. Step 4: Simplify right side
    154,903.60x = 20,718,631,992.47
  5. Step 5: Solve for x
    x = 20,718,631,992.47/154,903.60
  6. Step 6: Final answer
    x = 133,751.78

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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.