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Finding the Fourth Proportional to 47,656.85, 71,485.79 and 14,377.20

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Solution

The fourth proportional to 47,656.85, 71,485.79 and 14,377.20 is: 21,565.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,656.85 : 71,485.79 = 14,377.20 : x
  2. Step 2: Convert to fraction form
    47,656.85/71,485.79 = 14,377.20/x
  3. Step 3: Cross multiply
    47,656.85x = 71,485.79 × 14,377.20
  4. Step 4: Simplify right side
    47,656.85x = 1,027,765,428.10
  5. Step 5: Solve for x
    x = 1,027,765,428.10/47,656.85
  6. Step 6: Final answer
    x = 21,565.96

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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.