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Finding the Fourth Proportional to 64,857.36, 89,503 and 36,177.06

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Solution

The fourth proportional to 64,857.36, 89,503 and 36,177.06 is: 49,924.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,857.36 : 89,503 = 36,177.06 : x
  2. Step 2: Convert to fraction form
    64,857.36/89,503 = 36,177.06/x
  3. Step 3: Cross multiply
    64,857.36x = 89,503 × 36,177.06
  4. Step 4: Simplify right side
    64,857.36x = 3,237,955,401.18
  5. Step 5: Solve for x
    x = 3,237,955,401.18/64,857.36
  6. Step 6: Final answer
    x = 49,924.26

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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.