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Finding the Fourth Proportional to 158,406, 218,546.46 and 90,374.10

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Solution

The fourth proportional to 158,406, 218,546.46 and 90,374.10 is: 124,685.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,406 : 218,546.46 = 90,374.10 : x
  2. Step 2: Convert to fraction form
    158,406/218,546.46 = 90,374.10/x
  3. Step 3: Cross multiply
    158,406x = 218,546.46 × 90,374.10
  4. Step 4: Simplify right side
    158,406x = 19,750,939,630.69
  5. Step 5: Solve for x
    x = 19,750,939,630.69/158,406
  6. Step 6: Final answer
    x = 124,685.55

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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.