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Finding the Fourth Proportional to 78,475.60, 117,713.40 and 31,704.40

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Solution

The fourth proportional to 78,475.60, 117,713.40 and 31,704.40 is: 47,556.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,475.60 : 117,713.40 = 31,704.40 : x
  2. Step 2: Convert to fraction form
    78,475.60/117,713.40 = 31,704.40/x
  3. Step 3: Cross multiply
    78,475.60x = 117,713.40 × 31,704.40
  4. Step 4: Simplify right side
    78,475.60x = 3,732,032,718.96
  5. Step 5: Solve for x
    x = 3,732,032,718.96/78,475.60
  6. Step 6: Final answer
    x = 47,556.60

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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.