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Finding the Fourth Proportional to 47,242.40, 70,871.24 and 13,965.80

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Solution

The fourth proportional to 47,242.40, 70,871.24 and 13,965.80 is: 20,950.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,242.40 : 70,871.24 = 13,965.80 : x
  2. Step 2: Convert to fraction form
    47,242.40/70,871.24 = 13,965.80/x
  3. Step 3: Cross multiply
    47,242.40x = 70,871.24 × 13,965.80
  4. Step 4: Simplify right side
    47,242.40x = 989,773,563.59
  5. Step 5: Solve for x
    x = 989,773,563.59/47,242.40
  6. Step 6: Final answer
    x = 20,950.96

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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.