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Finding the Fourth Proportional to 78,497.87, 117,730.31 and 25,895.03

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Solution

The fourth proportional to 78,497.87, 117,730.31 and 25,895.03 is: 38,837.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,497.87 : 117,730.31 = 25,895.03 : x
  2. Step 2: Convert to fraction form
    78,497.87/117,730.31 = 25,895.03/x
  3. Step 3: Cross multiply
    78,497.87x = 117,730.31 × 25,895.03
  4. Step 4: Simplify right side
    78,497.87x = 3,048,629,320.71
  5. Step 5: Solve for x
    x = 3,048,629,320.71/78,497.87
  6. Step 6: Final answer
    x = 38,837.10

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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.