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Finding the Fourth Proportional to 159,428.22, 238,978.30 and 70,723.50

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Solution

The fourth proportional to 159,428.22, 238,978.30 and 70,723.50 is: 106,012.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,428.22 : 238,978.30 = 70,723.50 : x
  2. Step 2: Convert to fraction form
    159,428.22/238,978.30 = 70,723.50/x
  3. Step 3: Cross multiply
    159,428.22x = 238,978.30 × 70,723.50
  4. Step 4: Simplify right side
    159,428.22x = 16,901,381,800.05
  5. Step 5: Solve for x
    x = 16,901,381,800.05/159,428.22
  6. Step 6: Final answer
    x = 106,012.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.