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Finding the Fourth Proportional to 51,891.84, 77,830.20 and 16,826.40

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Solution

The fourth proportional to 51,891.84, 77,830.20 and 16,826.40 is: 25,237.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,891.84 : 77,830.20 = 16,826.40 : x
  2. Step 2: Convert to fraction form
    51,891.84/77,830.20 = 16,826.40/x
  3. Step 3: Cross multiply
    51,891.84x = 77,830.20 × 16,826.40
  4. Step 4: Simplify right side
    51,891.84x = 1,309,602,077.28
  5. Step 5: Solve for x
    x = 1,309,602,077.28/51,891.84
  6. Step 6: Final answer
    x = 25,237.15

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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.