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Finding the Fourth Proportional to 202,313.20, 303,719.40 and 127,433.20

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Solution

The fourth proportional to 202,313.20, 303,719.40 and 127,433.20 is: 191,307.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,313.20 : 303,719.40 = 127,433.20 : x
  2. Step 2: Convert to fraction form
    202,313.20/303,719.40 = 127,433.20/x
  3. Step 3: Cross multiply
    202,313.20x = 303,719.40 × 127,433.20
  4. Step 4: Simplify right side
    202,313.20x = 38,703,935,044.08
  5. Step 5: Solve for x
    x = 38,703,935,044.08/202,313.20
  6. Step 6: Final answer
    x = 191,307.02

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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.