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Finding the Fourth Proportional to 194,642.40, 268,606.40 and 105,218.40

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Solution

The fourth proportional to 194,642.40, 268,606.40 and 105,218.40 is: 145,201.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,642.40 : 268,606.40 = 105,218.40 : x
  2. Step 2: Convert to fraction form
    194,642.40/268,606.40 = 105,218.40/x
  3. Step 3: Cross multiply
    194,642.40x = 268,606.40 × 105,218.40
  4. Step 4: Simplify right side
    194,642.40x = 28,262,335,637.76
  5. Step 5: Solve for x
    x = 28,262,335,637.76/194,642.40
  6. Step 6: Final answer
    x = 145,201.33

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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.