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Finding the Fourth Proportional to 78,527.85, 117,747.03 and 53,598.09

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Solution

The fourth proportional to 78,527.85, 117,747.03 and 53,598.09 is: 80,366.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,527.85 : 117,747.03 = 53,598.09 : x
  2. Step 2: Convert to fraction form
    78,527.85/117,747.03 = 53,598.09/x
  3. Step 3: Cross multiply
    78,527.85x = 117,747.03 × 53,598.09
  4. Step 4: Simplify right side
    78,527.85x = 6,311,015,911.17
  5. Step 5: Solve for x
    x = 6,311,015,911.17/78,527.85
  6. Step 6: Final answer
    x = 80,366.59

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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.