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Finding the Fourth Proportional to 208,464.64, 312,511.36 and 75,315.20

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Solution

The fourth proportional to 208,464.64, 312,511.36 and 75,315.20 is: 112,905.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,464.64 : 312,511.36 = 75,315.20 : x
  2. Step 2: Convert to fraction form
    208,464.64/312,511.36 = 75,315.20/x
  3. Step 3: Cross multiply
    208,464.64x = 312,511.36 × 75,315.20
  4. Step 4: Simplify right side
    208,464.64x = 23,536,855,580.67
  5. Step 5: Solve for x
    x = 23,536,855,580.67/208,464.64
  6. Step 6: Final answer
    x = 112,905.75

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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.