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Finding the Fourth Proportional to 47,488, 71,232.96 and 14,656

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Solution

The fourth proportional to 47,488, 71,232.96 and 14,656 is: 21,984.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,488 : 71,232.96 = 14,656 : x
  2. Step 2: Convert to fraction form
    47,488/71,232.96 = 14,656/x
  3. Step 3: Cross multiply
    47,488x = 71,232.96 × 14,656
  4. Step 4: Simplify right side
    47,488x = 1,043,990,261.76
  5. Step 5: Solve for x
    x = 1,043,990,261.76/47,488
  6. Step 6: Final answer
    x = 21,984.30

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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.