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Finding the Fourth Proportional to 208,392, 312,639.84 and 60,648

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Solution

The fourth proportional to 208,392, 312,639.84 and 60,648 is: 90,987.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,392 : 312,639.84 = 60,648 : x
  2. Step 2: Convert to fraction form
    208,392/312,639.84 = 60,648/x
  3. Step 3: Cross multiply
    208,392x = 312,639.84 × 60,648
  4. Step 4: Simplify right side
    208,392x = 18,960,981,016.32
  5. Step 5: Solve for x
    x = 18,960,981,016.32/208,392
  6. Step 6: Final answer
    x = 90,987.09

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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.