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Finding the Fourth Proportional to 158,400.66, 218,417.78 and 100,949.03

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Solution

The fourth proportional to 158,400.66, 218,417.78 and 100,949.03 is: 139,198.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,400.66 : 218,417.78 = 100,949.03 : x
  2. Step 2: Convert to fraction form
    158,400.66/218,417.78 = 100,949.03/x
  3. Step 3: Cross multiply
    158,400.66x = 218,417.78 × 100,949.03
  4. Step 4: Simplify right side
    158,400.66x = 22,049,064,233.70
  5. Step 5: Solve for x
    x = 22,049,064,233.70/158,400.66
  6. Step 6: Final answer
    x = 139,198.05

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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.