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Finding the Fourth Proportional to 208,139.91, 312,209.88 and 50,368.38

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Solution

The fourth proportional to 208,139.91, 312,209.88 and 50,368.38 is: 75,552.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,139.91 : 312,209.88 = 50,368.38 : x
  2. Step 2: Convert to fraction form
    208,139.91/312,209.88 = 50,368.38/x
  3. Step 3: Cross multiply
    208,139.91x = 312,209.88 × 50,368.38
  4. Step 4: Simplify right side
    208,139.91x = 15,725,505,875.59
  5. Step 5: Solve for x
    x = 15,725,505,875.59/208,139.91
  6. Step 6: Final answer
    x = 75,552.57

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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.