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Finding the Fourth Proportional to 67,065.60, 100,483.20 and 31,929.60

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Solution

The fourth proportional to 67,065.60, 100,483.20 and 31,929.60 is: 47,839.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,065.60 : 100,483.20 = 31,929.60 : x
  2. Step 2: Convert to fraction form
    67,065.60/100,483.20 = 31,929.60/x
  3. Step 3: Cross multiply
    67,065.60x = 100,483.20 × 31,929.60
  4. Step 4: Simplify right side
    67,065.60x = 3,208,388,382.72
  5. Step 5: Solve for x
    x = 3,208,388,382.72/67,065.60
  6. Step 6: Final answer
    x = 47,839.55

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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.