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Finding the Fourth Proportional to 94,338, 130,080.15 and 72,778.68

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Solution

The fourth proportional to 94,338, 130,080.15 and 72,778.68 is: 100,352.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,338 : 130,080.15 = 72,778.68 : x
  2. Step 2: Convert to fraction form
    94,338/130,080.15 = 72,778.68/x
  3. Step 3: Cross multiply
    94,338x = 130,080.15 × 72,778.68
  4. Step 4: Simplify right side
    94,338x = 9,467,061,611.20
  5. Step 5: Solve for x
    x = 9,467,061,611.20/94,338
  6. Step 6: Final answer
    x = 100,352.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.