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Finding the Fourth Proportional to 47,783.52, 71,678.52 and 12,723.48

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Solution

The fourth proportional to 47,783.52, 71,678.52 and 12,723.48 is: 19,086.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,783.52 : 71,678.52 = 12,723.48 : x
  2. Step 2: Convert to fraction form
    47,783.52/71,678.52 = 12,723.48/x
  3. Step 3: Cross multiply
    47,783.52x = 71,678.52 × 12,723.48
  4. Step 4: Simplify right side
    47,783.52x = 912,000,215.65
  5. Step 5: Solve for x
    x = 912,000,215.65/47,783.52
  6. Step 6: Final answer
    x = 19,086.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.