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Finding the Fourth Proportional to 51,953.69, 77,911.29 and 18,664.71

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Solution

The fourth proportional to 51,953.69, 77,911.29 and 18,664.71 is: 27,990.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,953.69 : 77,911.29 = 18,664.71 : x
  2. Step 2: Convert to fraction form
    51,953.69/77,911.29 = 18,664.71/x
  3. Step 3: Cross multiply
    51,953.69x = 77,911.29 × 18,664.71
  4. Step 4: Simplify right side
    51,953.69x = 1,454,191,633.58
  5. Step 5: Solve for x
    x = 1,454,191,633.58/51,953.69
  6. Step 6: Final answer
    x = 27,990.15

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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.