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Finding the Fourth Proportional to 86,816.50, 119,807.49 and 47,072.50

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Solution

The fourth proportional to 86,816.50, 119,807.49 and 47,072.50 is: 64,960.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,816.50 : 119,807.49 = 47,072.50 : x
  2. Step 2: Convert to fraction form
    86,816.50/119,807.49 = 47,072.50/x
  3. Step 3: Cross multiply
    86,816.50x = 119,807.49 × 47,072.50
  4. Step 4: Simplify right side
    86,816.50x = 5,639,638,073.03
  5. Step 5: Solve for x
    x = 5,639,638,073.03/86,816.50
  6. Step 6: Final answer
    x = 64,960.44

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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.