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Finding the Fourth Proportional to 78,527.34, 117,791.01 and 31,813.02

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Solution

The fourth proportional to 78,527.34, 117,791.01 and 31,813.02 is: 47,719.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,527.34 : 117,791.01 = 31,813.02 : x
  2. Step 2: Convert to fraction form
    78,527.34/117,791.01 = 31,813.02/x
  3. Step 3: Cross multiply
    78,527.34x = 117,791.01 × 31,813.02
  4. Step 4: Simplify right side
    78,527.34x = 3,747,287,756.95
  5. Step 5: Solve for x
    x = 3,747,287,756.95/78,527.34
  6. Step 6: Final answer
    x = 47,719.53

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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.