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Finding the Fourth Proportional to 208,160, 312,240 and 76,832

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Solution

The fourth proportional to 208,160, 312,240 and 76,832 is: 115,248

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,160 : 312,240 = 76,832 : x
  2. Step 2: Convert to fraction form
    208,160/312,240 = 76,832/x
  3. Step 3: Cross multiply
    208,160x = 312,240 × 76,832
  4. Step 4: Simplify right side
    208,160x = 23,990,023,680
  5. Step 5: Solve for x
    x = 23,990,023,680/208,160
  6. Step 6: Final answer
    x = 115,248

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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.