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Finding the Fourth Proportional to 47,830.80, 71,659.80 and 40,918.80

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Solution

The fourth proportional to 47,830.80, 71,659.80 and 40,918.80 is: 61,304.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,830.80 : 71,659.80 = 40,918.80 : x
  2. Step 2: Convert to fraction form
    47,830.80/71,659.80 = 40,918.80/x
  3. Step 3: Cross multiply
    47,830.80x = 71,659.80 × 40,918.80
  4. Step 4: Simplify right side
    47,830.80x = 2,932,233,024.24
  5. Step 5: Solve for x
    x = 2,932,233,024.24/47,830.80
  6. Step 6: Final answer
    x = 61,304.29

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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.