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Finding the Fourth Proportional to 47,120.10, 70,676.70 and 13,842.77

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Solution

The fourth proportional to 47,120.10, 70,676.70 and 13,842.77 is: 20,763.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,120.10 : 70,676.70 = 13,842.77 : x
  2. Step 2: Convert to fraction form
    47,120.10/70,676.70 = 13,842.77/x
  3. Step 3: Cross multiply
    47,120.10x = 70,676.70 × 13,842.77
  4. Step 4: Simplify right side
    47,120.10x = 978,361,302.46
  5. Step 5: Solve for x
    x = 978,361,302.46/47,120.10
  6. Step 6: Final answer
    x = 20,763.14

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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.