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Finding the Fourth Proportional to 51,666.80, 77,471.10 and 17,917.00

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Solution

The fourth proportional to 51,666.80, 77,471.10 and 17,917.00 is: 26,865.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,666.80 : 77,471.10 = 17,917.00 : x
  2. Step 2: Convert to fraction form
    51,666.80/77,471.10 = 17,917.00/x
  3. Step 3: Cross multiply
    51,666.80x = 77,471.10 × 17,917.00
  4. Step 4: Simplify right side
    51,666.80x = 1,388,049,505.02
  5. Step 5: Solve for x
    x = 1,388,049,505.02/51,666.80
  6. Step 6: Final answer
    x = 26,865.41

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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.