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Finding the Fourth Proportional to 208,080.24, 312,152.76 and 67,806.24

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Solution

The fourth proportional to 208,080.24, 312,152.76 and 67,806.24 is: 101,719.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,080.24 : 312,152.76 = 67,806.24 : x
  2. Step 2: Convert to fraction form
    208,080.24/312,152.76 = 67,806.24/x
  3. Step 3: Cross multiply
    208,080.24x = 312,152.76 × 67,806.24
  4. Step 4: Simplify right side
    208,080.24x = 21,165,904,961.22
  5. Step 5: Solve for x
    x = 21,165,904,961.22/208,080.24
  6. Step 6: Final answer
    x = 101,719.92

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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.