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Finding the Fourth Proportional to 208,547.28, 312,821.28 and 50,775.84

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Solution

The fourth proportional to 208,547.28, 312,821.28 and 50,775.84 is: 76,163.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,547.28 : 312,821.28 = 50,775.84 : x
  2. Step 2: Convert to fraction form
    208,547.28/312,821.28 = 50,775.84/x
  3. Step 3: Cross multiply
    208,547.28x = 312,821.28 × 50,775.84
  4. Step 4: Simplify right side
    208,547.28x = 15,883,763,261.88
  5. Step 5: Solve for x
    x = 15,883,763,261.88/208,547.28
  6. Step 6: Final answer
    x = 76,163.85

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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.