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Finding the Fourth Proportional to 86,559, 119,451.45 and 46,815

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Solution

The fourth proportional to 86,559, 119,451.45 and 46,815 is: 64,604.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,559 : 119,451.45 = 46,815 : x
  2. Step 2: Convert to fraction form
    86,559/119,451.45 = 46,815/x
  3. Step 3: Cross multiply
    86,559x = 119,451.45 × 46,815
  4. Step 4: Simplify right side
    86,559x = 5,592,119,631.75
  5. Step 5: Solve for x
    x = 5,592,119,631.75/86,559
  6. Step 6: Final answer
    x = 64,604.72

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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.