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Finding the Fourth Proportional to 208,194.66, 312,292.80 and 50,423.28

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Solution

The fourth proportional to 208,194.66, 312,292.80 and 50,423.28 is: 75,635.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,194.66 : 312,292.80 = 50,423.28 : x
  2. Step 2: Convert to fraction form
    208,194.66/312,292.80 = 50,423.28/x
  3. Step 3: Cross multiply
    208,194.66x = 312,292.80 × 50,423.28
  4. Step 4: Simplify right side
    208,194.66x = 15,746,827,296.38
  5. Step 5: Solve for x
    x = 15,746,827,296.38/208,194.66
  6. Step 6: Final answer
    x = 75,635.12

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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.