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Finding the Fourth Proportional to 51,511, 77,257.64 and 15,486.92

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Solution

The fourth proportional to 51,511, 77,257.64 and 15,486.92 is: 23,227.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,511 : 77,257.64 = 15,486.92 : x
  2. Step 2: Convert to fraction form
    51,511/77,257.64 = 15,486.92/x
  3. Step 3: Cross multiply
    51,511x = 77,257.64 × 15,486.92
  4. Step 4: Simplify right side
    51,511x = 1,196,482,890.07
  5. Step 5: Solve for x
    x = 1,196,482,890.07/51,511
  6. Step 6: Final answer
    x = 23,227.72

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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.