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Finding the Fourth Proportional to 158,678.52, 218,969.10 and 87,057.06

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Solution

The fourth proportional to 158,678.52, 218,969.10 and 87,057.06 is: 120,134.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,678.52 : 218,969.10 = 87,057.06 : x
  2. Step 2: Convert to fraction form
    158,678.52/218,969.10 = 87,057.06/x
  3. Step 3: Cross multiply
    158,678.52x = 218,969.10 × 87,057.06
  4. Step 4: Simplify right side
    158,678.52x = 19,062,806,076.85
  5. Step 5: Solve for x
    x = 19,062,806,076.85/158,678.52
  6. Step 6: Final answer
    x = 120,134.76

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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.