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Finding the Fourth Proportional to 78,503.58, 117,765.09 and 25,898.94

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Solution

The fourth proportional to 78,503.58, 117,765.09 and 25,898.94 is: 38,851.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,503.58 : 117,765.09 = 25,898.94 : x
  2. Step 2: Convert to fraction form
    78,503.58/117,765.09 = 25,898.94/x
  3. Step 3: Cross multiply
    78,503.58x = 117,765.09 × 25,898.94
  4. Step 4: Simplify right side
    78,503.58x = 3,049,991,000.00
  5. Step 5: Solve for x
    x = 3,049,991,000.00/78,503.58
  6. Step 6: Final answer
    x = 38,851.62

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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.