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Finding the Fourth Proportional to 247,282.94, 370,920.36 and 78,801

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Solution

The fourth proportional to 247,282.94, 370,920.36 and 78,801 is: 118,200.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,282.94 : 370,920.36 = 78,801 : x
  2. Step 2: Convert to fraction form
    247,282.94/370,920.36 = 78,801/x
  3. Step 3: Cross multiply
    247,282.94x = 370,920.36 × 78,801
  4. Step 4: Simplify right side
    247,282.94x = 29,228,895,288.36
  5. Step 5: Solve for x
    x = 29,228,895,288.36/247,282.94
  6. Step 6: Final answer
    x = 118,200.21

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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.