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Finding the Fourth Proportional to 158,719.53, 219,035.64 and 87,106.22

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Solution

The fourth proportional to 158,719.53, 219,035.64 and 87,106.22 is: 120,208.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,719.53 : 219,035.64 = 87,106.22 : x
  2. Step 2: Convert to fraction form
    158,719.53/219,035.64 = 87,106.22/x
  3. Step 3: Cross multiply
    158,719.53x = 219,035.64 × 87,106.22
  4. Step 4: Simplify right side
    158,719.53x = 19,079,366,698.53
  5. Step 5: Solve for x
    x = 19,079,366,698.53/158,719.53
  6. Step 6: Final answer
    x = 120,208.06

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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.