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Finding the Fourth Proportional to 83,154.36, 114,753 and 45,428.64

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Solution

The fourth proportional to 83,154.36, 114,753 and 45,428.64 is: 62,691.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,154.36 : 114,753 = 45,428.64 : x
  2. Step 2: Convert to fraction form
    83,154.36/114,753 = 45,428.64/x
  3. Step 3: Cross multiply
    83,154.36x = 114,753 × 45,428.64
  4. Step 4: Simplify right side
    83,154.36x = 5,213,072,725.92
  5. Step 5: Solve for x
    x = 5,213,072,725.92/83,154.36
  6. Step 6: Final answer
    x = 62,691.51

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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.