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Finding the Fourth Proportional to 205,376, 283,418.88 and 111,168

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Solution

The fourth proportional to 205,376, 283,418.88 and 111,168 is: 153,411.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,376 : 283,418.88 = 111,168 : x
  2. Step 2: Convert to fraction form
    205,376/283,418.88 = 111,168/x
  3. Step 3: Cross multiply
    205,376x = 283,418.88 × 111,168
  4. Step 4: Simplify right side
    205,376x = 31,507,110,051.84
  5. Step 5: Solve for x
    x = 31,507,110,051.84/205,376
  6. Step 6: Final answer
    x = 153,411.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.