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Finding the Fourth Proportional to 78,560.71, 117,841.31 and 19,396.39

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Solution

The fourth proportional to 78,560.71, 117,841.31 and 19,396.39 is: 29,094.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,560.71 : 117,841.31 = 19,396.39 : x
  2. Step 2: Convert to fraction form
    78,560.71/117,841.31 = 19,396.39/x
  3. Step 3: Cross multiply
    78,560.71x = 117,841.31 × 19,396.39
  4. Step 4: Simplify right side
    78,560.71x = 2,285,696,006.87
  5. Step 5: Solve for x
    x = 2,285,696,006.87/78,560.71
  6. Step 6: Final answer
    x = 29,094.65

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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.