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Finding the Fourth Proportional to 158,446, 218,655.48 and 91,378

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Solution

The fourth proportional to 158,446, 218,655.48 and 91,378 is: 126,101.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,446 : 218,655.48 = 91,378 : x
  2. Step 2: Convert to fraction form
    158,446/218,655.48 = 91,378/x
  3. Step 3: Cross multiply
    158,446x = 218,655.48 × 91,378
  4. Step 4: Simplify right side
    158,446x = 19,980,300,451.44
  5. Step 5: Solve for x
    x = 19,980,300,451.44/158,446
  6. Step 6: Final answer
    x = 126,101.64

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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.