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Finding the Fourth Proportional to 86,800, 119,784 and 47,056

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Solution

The fourth proportional to 86,800, 119,784 and 47,056 is: 64,937.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,800 : 119,784 = 47,056 : x
  2. Step 2: Convert to fraction form
    86,800/119,784 = 47,056/x
  3. Step 3: Cross multiply
    86,800x = 119,784 × 47,056
  4. Step 4: Simplify right side
    86,800x = 5,636,555,904
  5. Step 5: Solve for x
    x = 5,636,555,904/86,800
  6. Step 6: Final answer
    x = 64,937.28

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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.