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Finding the Fourth Proportional to 194,487, 268,392.32 and 105,063

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Solution

The fourth proportional to 194,487, 268,392.32 and 105,063 is: 144,987.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,487 : 268,392.32 = 105,063 : x
  2. Step 2: Convert to fraction form
    194,487/268,392.32 = 105,063/x
  3. Step 3: Cross multiply
    194,487x = 268,392.32 × 105,063
  4. Step 4: Simplify right side
    194,487x = 28,198,102,316.16
  5. Step 5: Solve for x
    x = 28,198,102,316.16/194,487
  6. Step 6: Final answer
    x = 144,987.08

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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.