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Finding the Fourth Proportional to 78,529.74, 117,749.84 and 53,599.97

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Solution

The fourth proportional to 78,529.74, 117,749.84 and 53,599.97 is: 80,369.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,529.74 : 117,749.84 = 53,599.97 : x
  2. Step 2: Convert to fraction form
    78,529.74/117,749.84 = 53,599.97/x
  3. Step 3: Cross multiply
    78,529.74x = 117,749.84 × 53,599.97
  4. Step 4: Simplify right side
    78,529.74x = 6,311,387,034.76
  5. Step 5: Solve for x
    x = 6,311,387,034.76/78,529.74
  6. Step 6: Final answer
    x = 80,369.39

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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.