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Finding the Fourth Proportional to 194,488, 268,393.68 and 105,064

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Solution

The fourth proportional to 194,488, 268,393.68 and 105,064 is: 144,988.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,488 : 268,393.68 = 105,064 : x
  2. Step 2: Convert to fraction form
    194,488/268,393.68 = 105,064/x
  3. Step 3: Cross multiply
    194,488x = 268,393.68 × 105,064
  4. Step 4: Simplify right side
    194,488x = 28,198,513,595.52
  5. Step 5: Solve for x
    x = 28,198,513,595.52/194,488
  6. Step 6: Final answer
    x = 144,988.45

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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.