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Finding the Fourth Proportional to 205,172, 307,797.90 and 78,803

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Solution

The fourth proportional to 205,172, 307,797.90 and 78,803 is: 118,219.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,172 : 307,797.90 = 78,803 : x
  2. Step 2: Convert to fraction form
    205,172/307,797.90 = 78,803/x
  3. Step 3: Cross multiply
    205,172x = 307,797.90 × 78,803
  4. Step 4: Simplify right side
    205,172x = 24,255,397,913.70
  5. Step 5: Solve for x
    x = 24,255,397,913.70/205,172
  6. Step 6: Final answer
    x = 118,219.82

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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.