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Finding the Fourth Proportional to 242,616.96, 363,991.32 and 137,509.76

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Solution

The fourth proportional to 242,616.96, 363,991.32 and 137,509.76 is: 206,301.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,616.96 : 363,991.32 = 137,509.76 : x
  2. Step 2: Convert to fraction form
    242,616.96/363,991.32 = 137,509.76/x
  3. Step 3: Cross multiply
    242,616.96x = 363,991.32 × 137,509.76
  4. Step 4: Simplify right side
    242,616.96x = 50,052,359,055.28
  5. Step 5: Solve for x
    x = 50,052,359,055.28/242,616.96
  6. Step 6: Final answer
    x = 206,301.98

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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.