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Finding the Fourth Proportional to 86,910, 119,935.84 and 47,166

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Solution

The fourth proportional to 86,910, 119,935.84 and 47,166 is: 65,089.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,910 : 119,935.84 = 47,166 : x
  2. Step 2: Convert to fraction form
    86,910/119,935.84 = 47,166/x
  3. Step 3: Cross multiply
    86,910x = 119,935.84 × 47,166
  4. Step 4: Simplify right side
    86,910x = 5,656,893,829.44
  5. Step 5: Solve for x
    x = 5,656,893,829.44/86,910
  6. Step 6: Final answer
    x = 65,089.10

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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.