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Finding the Fourth Proportional to 158,691.83, 218,998.77 and 87,071.84

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Solution

The fourth proportional to 158,691.83, 218,998.77 and 87,071.84 is: 120,161.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,691.83 : 218,998.77 = 87,071.84 : x
  2. Step 2: Convert to fraction form
    158,691.83/218,998.77 = 87,071.84/x
  3. Step 3: Cross multiply
    158,691.83x = 218,998.77 × 87,071.84
  4. Step 4: Simplify right side
    158,691.83x = 19,068,624,766.64
  5. Step 5: Solve for x
    x = 19,068,624,766.64/158,691.83
  6. Step 6: Final answer
    x = 120,161.35

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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.