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Finding the Fourth Proportional to 78,523.34, 117,785.01 and 31,809.02

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Solution

The fourth proportional to 78,523.34, 117,785.01 and 31,809.02 is: 47,713.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,523.34 : 117,785.01 = 31,809.02 : x
  2. Step 2: Convert to fraction form
    78,523.34/117,785.01 = 31,809.02/x
  3. Step 3: Cross multiply
    78,523.34x = 117,785.01 × 31,809.02
  4. Step 4: Simplify right side
    78,523.34x = 3,746,625,738.79
  5. Step 5: Solve for x
    x = 3,746,625,738.79/78,523.34
  6. Step 6: Final answer
    x = 47,713.53

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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.