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Finding the Fourth Proportional to 47,657.85, 71,396.52 and 31,815.10

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Solution

The fourth proportional to 47,657.85, 71,396.52 and 31,815.10 is: 47,662.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,657.85 : 71,396.52 = 31,815.10 : x
  2. Step 2: Convert to fraction form
    47,657.85/71,396.52 = 31,815.10/x
  3. Step 3: Cross multiply
    47,657.85x = 71,396.52 × 31,815.10
  4. Step 4: Simplify right side
    47,657.85x = 2,271,487,423.45
  5. Step 5: Solve for x
    x = 2,271,487,423.45/47,657.85
  6. Step 6: Final answer
    x = 47,662.40

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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.