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Finding the Fourth Proportional to 86,744, 119,706.80 and 47,000

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Solution

The fourth proportional to 86,744, 119,706.80 and 47,000 is: 64,860.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,744 : 119,706.80 = 47,000 : x
  2. Step 2: Convert to fraction form
    86,744/119,706.80 = 47,000/x
  3. Step 3: Cross multiply
    86,744x = 119,706.80 × 47,000
  4. Step 4: Simplify right side
    86,744x = 5,626,219,600
  5. Step 5: Solve for x
    x = 5,626,219,600/86,744
  6. Step 6: Final answer
    x = 64,860.04

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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.