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Finding the Fourth Proportional to 47,796.48, 71,681.76 and 20,088

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Solution

The fourth proportional to 47,796.48, 71,681.76 and 20,088 is: 30,126.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,796.48 : 71,681.76 = 20,088 : x
  2. Step 2: Convert to fraction form
    47,796.48/71,681.76 = 20,088/x
  3. Step 3: Cross multiply
    47,796.48x = 71,681.76 × 20,088
  4. Step 4: Simplify right side
    47,796.48x = 1,439,943,194.88
  5. Step 5: Solve for x
    x = 1,439,943,194.88/47,796.48
  6. Step 6: Final answer
    x = 30,126.55

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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.