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Finding the Fourth Proportional to 77,684.62, 107,213.00 and 47,487.62

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Solution

The fourth proportional to 77,684.62, 107,213.00 and 47,487.62 is: 65,537.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,684.62 : 107,213.00 = 47,487.62 : x
  2. Step 2: Convert to fraction form
    77,684.62/107,213.00 = 47,487.62/x
  3. Step 3: Cross multiply
    77,684.62x = 107,213.00 × 47,487.62
  4. Step 4: Simplify right side
    77,684.62x = 5,091,289,429.56
  5. Step 5: Solve for x
    x = 5,091,289,429.56/77,684.62
  6. Step 6: Final answer
    x = 65,537.93

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1.5x scale

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.