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Finding the Fourth Proportional to 51,887.71, 77,802.81 and 18,144.70

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Solution

The fourth proportional to 51,887.71, 77,802.81 and 18,144.70 is: 27,206.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,887.71 : 77,802.81 = 18,144.70 : x
  2. Step 2: Convert to fraction form
    51,887.71/77,802.81 = 18,144.70/x
  3. Step 3: Cross multiply
    51,887.71x = 77,802.81 × 18,144.70
  4. Step 4: Simplify right side
    51,887.71x = 1,411,708,338.44
  5. Step 5: Solve for x
    x = 1,411,708,338.44/51,887.71
  6. Step 6: Final answer
    x = 27,206.99

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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.