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Finding the Fourth Proportional to 47,385, 71,033.76 and 17,782.74

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Solution

The fourth proportional to 47,385, 71,033.76 and 17,782.74 is: 26,657.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,385 : 71,033.76 = 17,782.74 : x
  2. Step 2: Convert to fraction form
    47,385/71,033.76 = 17,782.74/x
  3. Step 3: Cross multiply
    47,385x = 71,033.76 × 17,782.74
  4. Step 4: Simplify right side
    47,385x = 1,263,174,885.30
  5. Step 5: Solve for x
    x = 1,263,174,885.30/47,385
  6. Step 6: Final answer
    x = 26,657.70

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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.