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Finding the Fourth Proportional to 137,428.92, 206,172.78 and 42,657.03

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Solution

The fourth proportional to 137,428.92, 206,172.78 and 42,657.03 is: 63,994.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,428.92 : 206,172.78 = 42,657.03 : x
  2. Step 2: Convert to fraction form
    137,428.92/206,172.78 = 42,657.03/x
  3. Step 3: Cross multiply
    137,428.92x = 206,172.78 × 42,657.03
  4. Step 4: Simplify right side
    137,428.92x = 8,794,718,461.64
  5. Step 5: Solve for x
    x = 8,794,718,461.64/137,428.92
  6. Step 6: Final answer
    x = 63,994.67

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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.