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Finding the Fourth Proportional to 47,680.64, 71,544.02 and 19,621.40

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Solution

The fourth proportional to 47,680.64, 71,544.02 and 19,621.40 is: 29,441.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,680.64 : 71,544.02 = 19,621.40 : x
  2. Step 2: Convert to fraction form
    47,680.64/71,544.02 = 19,621.40/x
  3. Step 3: Cross multiply
    47,680.64x = 71,544.02 × 19,621.40
  4. Step 4: Simplify right side
    47,680.64x = 1,403,793,834.03
  5. Step 5: Solve for x
    x = 1,403,793,834.03/47,680.64
  6. Step 6: Final answer
    x = 29,441.59

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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.