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Finding the Fourth Proportional to 51,395.59, 77,122.54 and 20,252.71

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Solution

The fourth proportional to 51,395.59, 77,122.54 and 20,252.71 is: 30,390.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,395.59 : 77,122.54 = 20,252.71 : x
  2. Step 2: Convert to fraction form
    51,395.59/77,122.54 = 20,252.71/x
  3. Step 3: Cross multiply
    51,395.59x = 77,122.54 × 20,252.71
  4. Step 4: Simplify right side
    51,395.59x = 1,561,940,051.47
  5. Step 5: Solve for x
    x = 1,561,940,051.47/51,395.59
  6. Step 6: Final answer
    x = 30,390.55

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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.