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Finding the Fourth Proportional to 158,636.76, 218,956.82 and 107,734.34

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Solution

The fourth proportional to 158,636.76, 218,956.82 and 107,734.34 is: 148,699.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,636.76 : 218,956.82 = 107,734.34 : x
  2. Step 2: Convert to fraction form
    158,636.76/218,956.82 = 107,734.34/x
  3. Step 3: Cross multiply
    158,636.76x = 218,956.82 × 107,734.34
  4. Step 4: Simplify right side
    158,636.76x = 23,589,166,857.74
  5. Step 5: Solve for x
    x = 23,589,166,857.74/158,636.76
  6. Step 6: Final answer
    x = 148,699.25

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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.