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Finding the Fourth Proportional to 47,980.40, 71,968.32 and 16,813.28

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Solution

The fourth proportional to 47,980.40, 71,968.32 and 16,813.28 is: 25,219.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,980.40 : 71,968.32 = 16,813.28 : x
  2. Step 2: Convert to fraction form
    47,980.40/71,968.32 = 16,813.28/x
  3. Step 3: Cross multiply
    47,980.40x = 71,968.32 × 16,813.28
  4. Step 4: Simplify right side
    47,980.40x = 1,210,023,515.29
  5. Step 5: Solve for x
    x = 1,210,023,515.29/47,980.40
  6. Step 6: Final answer
    x = 25,219.12

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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.