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Finding the Fourth Proportional to 47,985.40, 71,978.10 and 31,364.20

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Solution

The fourth proportional to 47,985.40, 71,978.10 and 31,364.20 is: 47,046.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,985.40 : 71,978.10 = 31,364.20 : x
  2. Step 2: Convert to fraction form
    47,985.40/71,978.10 = 31,364.20/x
  3. Step 3: Cross multiply
    47,985.40x = 71,978.10 × 31,364.20
  4. Step 4: Simplify right side
    47,985.40x = 2,257,535,524.02
  5. Step 5: Solve for x
    x = 2,257,535,524.02/47,985.40
  6. Step 6: Final answer
    x = 47,046.30

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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.