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Finding the Fourth Proportional to 158,650.76, 218,936.04 and 87,031.64

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Solution

The fourth proportional to 158,650.76, 218,936.04 and 87,031.64 is: 120,102.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,650.76 : 218,936.04 = 87,031.64 : x
  2. Step 2: Convert to fraction form
    158,650.76/218,936.04 = 87,031.64/x
  3. Step 3: Cross multiply
    158,650.76x = 218,936.04 × 87,031.64
  4. Step 4: Simplify right side
    158,650.76x = 19,054,362,616.31
  5. Step 5: Solve for x
    x = 19,054,362,616.31/158,650.76
  6. Step 6: Final answer
    x = 120,102.56

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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.