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Finding the Fourth Proportional to 208,591.74, 312,884.37 and 83,929.50

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Solution

The fourth proportional to 208,591.74, 312,884.37 and 83,929.50 is: 125,892.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,591.74 : 312,884.37 = 83,929.50 : x
  2. Step 2: Convert to fraction form
    208,591.74/312,884.37 = 83,929.50/x
  3. Step 3: Cross multiply
    208,591.74x = 312,884.37 × 83,929.50
  4. Step 4: Simplify right side
    208,591.74x = 26,260,228,731.92
  5. Step 5: Solve for x
    x = 26,260,228,731.92/208,591.74
  6. Step 6: Final answer
    x = 125,892.95

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1.5x scale

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.