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Finding the Fourth Proportional to 86,759, 119,727.60 and 47,015

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Solution

The fourth proportional to 86,759, 119,727.60 and 47,015 is: 64,880.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,759 : 119,727.60 = 47,015 : x
  2. Step 2: Convert to fraction form
    86,759/119,727.60 = 47,015/x
  3. Step 3: Cross multiply
    86,759x = 119,727.60 × 47,015
  4. Step 4: Simplify right side
    86,759x = 5,628,993,114
  5. Step 5: Solve for x
    x = 5,628,993,114/86,759
  6. Step 6: Final answer
    x = 64,880.80

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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.