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Finding the Fourth Proportional to 78,502, 117,724.20 and 25,895.92

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Solution

The fourth proportional to 78,502, 117,724.20 and 25,895.92 is: 38,834.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,502 : 117,724.20 = 25,895.92 : x
  2. Step 2: Convert to fraction form
    78,502/117,724.20 = 25,895.92/x
  3. Step 3: Cross multiply
    78,502x = 117,724.20 × 25,895.92
  4. Step 4: Simplify right side
    78,502x = 3,048,576,465.26
  5. Step 5: Solve for x
    x = 3,048,576,465.26/78,502
  6. Step 6: Final answer
    x = 38,834.38

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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.