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Finding the Fourth Proportional to 78,014.60, 117,034.04 and 25,411.84

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Solution

The fourth proportional to 78,014.60, 117,034.04 and 25,411.84 is: 38,121.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,014.60 : 117,034.04 = 25,411.84 : x
  2. Step 2: Convert to fraction form
    78,014.60/117,034.04 = 25,411.84/x
  3. Step 3: Cross multiply
    78,014.60x = 117,034.04 × 25,411.84
  4. Step 4: Simplify right side
    78,014.60x = 2,974,050,299.03
  5. Step 5: Solve for x
    x = 2,974,050,299.03/78,014.60
  6. Step 6: Final answer
    x = 38,121.71

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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.